# Math-Quartic Equation

158,078 results

### maths quartic equation need help

the quartic equation x^4+2x^3+14x+15=0 has equal root of 1+2i find the other three root help me show step plz

### Math

A quartic graph has the following coordinates: (-4,0),(-2,0),(0,0),(1,0) find the equation in expanded form.

### Math-Quartic Equation

Reduce this equation using the quadratic formula, factoring, or other algebraic method to determine the other zeros of the function. F(x)= 4x^4 - x^3 - 11x^2 -2x +6

### MATH

The solution below corresponds to an inequality involving a quartic function. Write a possible quartic polynomial inequality that matches the solution. Prove that your inequality matches the solution. x < 4 and x > 7

### Math

write the particular equation of a quartic function that could, according to Descartes Rule of Signs have four positive zeros.

### math

write the particular equation of a quartic function that could, according to Descartes Rule of Signs have four positive zeros.

### mathematics

The solution below corresponds to an inequality involving a quartic function. Write a possible quartic polynomial inequality that matches the solution. Prove that your inequality matches the solution. x < 4 and x > 7

### Calculus

Find the equation of a quartic polynomial whose graph is symmetric about the y-axis and has local maxima at (−1,1) and (1,1) and a y-intercept of -1.

leaning ladders- a nasty quartic Two ladders leaning in opposite directionsbetween two walls.Each ladder touching the base of the opposite wall Ladders are 40 ft and 60 ft respt. cross at hy of 10 ft , h, what is the distance tween walls w ?

### Algebra

How do you factor a quartic equation such as 4x^3-24x^2-x+6. Could you break it down step by step? thank you.

### Math

I need 2 quartic+ functions that have a complez zero.

### math

What is a quartic function with only the two real zeros given? x = -4 and x = -1

### Math

How do you find the unknowns for a quartic function : f(x) =ax^4+bx^3+cx^2+dx+e Given the table of values. Determine a,b, c, d and e. x |y 0 0 1 0 2 1 3 3 4 6 5 10 6 15 7 21

### dav chd

Depress the quartic x^4 - 4x^3 + 2x^2 + 4x + 4 into w^4 - 4w^2 + 7

### Math Analysis

A quartic polynomial Q(x) with real coefficients has zeros 2+i and 3-2i, find the other two zeros.

### Pre-Calculus

Graphing Polynomials Decide whether each of the following is sometimes true, always true, or never true and explain reasoning. A. A cubic function has 2 different x-intercepts ^Never true, has to have 3? B. A cubic function has 3 x-intercepts ^ Always true C. A quartic ...

### algebra

What is a quartic polynomial function in standard form with zeros 1, –2, –2, and –3?

### Algebra

What is a quartic function with only the two real zeros given? x = -4 and x = -1 A. y = x^4 + 5x^3 + 5x^2 + 5x + 4 B. y = x^4 - 5x^3 - 5x^2 - 5x - 4 C. y = -x^4 + 5x^3 + 5x^2 + 5x + 4 D. y = x^4 + 5x^3 + 5x^2 + 5x - 5

### algebra 2

What is a quartic function with only the two real zeros given? x = -4, x = 1

### algebra

what is a quartic function with only the two real zeros given x=5 and x=1 y=-x^4-6x^3+6x^2-6x+5 y=x^4+6x^3-6x^2-5 y=x^4-6x^3+5x^2-6x+6 y=x^4-6x^3+6x^2-6x+5 can someone explain

### trig

solve for x 6tanx - 4sinx = 1 i tried it but got a quartic formula :S 16sin^4x + 8sin^3x + 37sin^2x - 36 = 0

### Algebra II

Write a quartic funciton that has 2 real and 2 imaginary roots and rewrite the polynomialin standard form.

### algebra

What is a quartic function with only the two real zeroes given? x=-1 and x=-3 Would someone please explain

### complete the square

the quartic equation x^4+8x^3=9x^2+20x+3 how to complete the square on the left hand side? I tried to factor out an x^2 first http://mathworld.wolfram.com/QuarticEquation.html

### Physics - Projectile Motion

This is going to be hard to explain, but I did an experiment on projectile motion and we had to lauch a marble from 0 degrees to 90 degrees in a 5 degree interval using a projectile launcher with the same velocity each time. We had to investigate the angle which gave the ...

### algebra

k is uniformly chosen from the interval (-5,5) . Let p be the probability that the quartic f(x)=kx^4+(k^2+1)x^2+k has 4 distinct real roots such that one of the roots is less than -4 and the other three are greater than -1. Find the value of 1000p.

### Math Functions

A stock went on the market and began with a start value of \$2. After 6 months of being on the market it reached its maximum value of 52\$ but then dropped back down to 2\$ by the 12th month. Three competing investment firms have come up with the following models. Royal Bank: p(t...

### Pre Calc

Write a quartic function that has roots that are 3+5i, -4 and 7 and f(-3)=53. I have tried it a bunch of times and can't seem to get it. (x-3+5i)(x-3-5i)(x+4)(x-7) I multiplied them together x^4-9x^3+24x^2+66x-952 I was a little unsure what f(-3)=53 means. I thought I should ...

### Math

Determine the maximum and minimum number of turning points for the function h(x) = -2x^4 - 8x^3 + 5x -6. Maximum:3 Minimum:1 Is this a valid reason: A quartic polynomial function has a 3 Turning points. The turning point is always 1 less than the degree. For example degree 4=3...

Write two possible quartic inequalities, one using the less than or equal to symbol (≤) and the other using the greater than or equal to symbol (≥), that correspond to the following solution : -6-√2 <x< -6+√2 or 6-√2 <x< 6+√2

### math

compare and contrast: below are two equations. solve each equation and compare the two solutions. choose the statement that is true about each solution. equation #1 2x-3=-17 5x+3=12 A. equation #1 and equation #2 have the same number of solutions B. equation #1 has more ...

### Math

A student is trying to solve the set of two equations given below: Equation A: x + z = 6 Equation B: 2x + 4z = 1 Which of the following is a possible step used in eliminating the z-term? Multiply equation B by 4. Multiply equation A by 2.*** Multiply equation A by −4.*** ...

### MATH

I NEED TO SOLVE FOR Y AND X im getting rele confused on this. ok here is the prob. x+y=5 x-2y=-4 equation 1 x+y=5 equation 2 x-2y=-4 Multiply equation 1 by -1. Add equation 1 to equation 2. The x term cancels. Solve for y. THEN, put the value of y into either equation and ...

### math

True or False? 1. The product of 2 linear polynomials is quadratic 2. The sum of two cubic polynomials cannot have a degree greater than 3. 3. The sum of two cubic polynomials may have a degree less than 3. 4. The sum of a cubic and a quartic polynomial may have a degree ...

### Urgent help Maths Ms sue

Use binomial series to find the Taylor series about 0 for the function f(x)=(1+x)^-3/5 giving all terms up to the one in x^4. Then use this series and Taylor series for sin x to find the quartic Taylor polynomial about 0 for the function f(x)= sinx/(1+x)^3/5

1) -5g-6 for g = -2 2) Write an algebraic expression for the sum of 3 Coins and c Coins 3) What Value of x is a solution to the equation? x-2 = 16 4) use mental math to solve the equation. z/-12 = -5 5) estimate the solution of the equation x-8.1 = 5.3 to the nearest whole ...

### Maths

Use the binomial series to find the Taylor series about 0 for the function f(x) = (1 + x)−3/5, giving all terms up to the one in x4. I have the answer; f(x)=1-3/5(x) +12/25(x^2) -52/125(x^3) + 234/625(x^4) but i am not sure how to work out the interval validity and Use ...

### Math

1) -5g-6 for g = -2 2) Write an algebraic expression for the sum of 3 Coins and c Coins 3) What Value of x is a solution to the equation? x-2 = 16 4) use mental math to solve the equation. z/-12 = -5 5) estimate the solution of the equation x-8.1 = 5.3 to the nearest whole ...

how do you make an equation that is parallel to another equation? how do you make an equation that is perpendicular to another equation? please help and explain. Thank you.

### precalculus

Determine the maximum and minimum number of turning points for the function h(x) = -2x^4 - 8x^3 + 5x -6. Maximum:3 Minimum:1 Is this a valid reason: A quartic polynomial function has a 3 Turning points. The turning point is always 1 less than the degree. For example degree 4=3...

### Math

Rewrite each equation below. Then solve your new equation. Be sure to check your solution using the original equation. (n+4)+n(n+2)+n=0

### Math

ewrite each equation below. Then solve your new equation. Be sure to check your solution using the original equation. 4/x=x+3

### math

waterline in my back yard is represented by the equation Y=-1/4x +8 What is the slope of the equation what is the Y intercept of the equation?

### math

i)use the substitution u=2^y to express the equation 3(2^y-1)=2^y+4 as a linear equation of u ii)hence solve the equation 3(2^y-1)=2^y+4

### Math

Consider the equation x^2 + 20 = 12x A) draw geometric diagram representing this equation. B) Show how to complete the square geometrically. C) Solve the equation.

### Math

Did I do this problem correctly? Solve the following system by first handling the equation of the two lines: x=(0, 2) y=(-2, 1) x=(0, -1) y=(-3, -2) Equation 1: y= -x1 Equation 2: y=4x/3+2T Is this the correct answer?

### Math

How would I simplify this quadratic equation: y=-15/20.25(x^2+3x+2.25)+0 This is my work already done the original equation I was given but I need help simplifying the equation I have found.

### math

4. From your equation, find the European equivalent for U. S. size 8. equation~ m = (y2 – y1) / (x2 – x1) m = (39-34) / (5-3) m = 5/2 b=26.5 Equation = y=5/2x+26.5 Can someone please help me answer this? I have a graph if you need it... ps thank you for any help you can give!

### Math

For the given equation r=1/(3-4sintheta) a. Graph the equation in polar form. b. Reduce the equation to simplest rectangular form. c. Determine the Center and the type of graph of the resulting equation.

### Cosmology

The equation describing the geometry and mass-energy distribution of a homogeneous and isotropic universe is known as: - The Einstein Equation - The Friedmann Equation - The Robertson-Walker Equation - The Hubble Equation

### Math!

6a + 5b = 10 , 6a - b = -110 a=________ b=_________ 6a + 5b = 10 6a - b = -110 =================== Subtact equation 2 from equation which will eliminate a. Solve the resulting equation for b, then substitute into either original equation and solve for a. Post your work if you ...

### Math

Identify the equation as an identity, inconsistent equation or conditional equation. 1-3/2x=7/4 my answer is it is an inconsistent equation

### MATH

Find all real solutions of the equation by first rewriting the equation as a quadratic equation. (Enter your answers as a comma-separated list.) 4x4 + 15x2 − 4 = 0

### Math

Can someone help me with these T.T 1.Which polynomial function would have the end behaviour of as x-> -∞, y= +inf and as x-> ∞, y-> -∞? a) f(x) = -6x^4 - x^5 + 5x^3 - x^2 - 4x + 9 b)f(x)= 6x^4 + x^5 - 5x^3 + x^2 + 4x - 9 c)f(x) = 3x^2 + x - 11 d)-2x^...

### math

what does it mean to describe the context in which a equation is used. describe the meaning of a equation and the meaning of the variables.what is meant by solution of a equation. my equation is y=2x+3

### math,correction,&help

Write the equation of the line L satisfying the given geometric conditions. L has y-intercept (0,2) and is perpendicular to the line with equation 2x-3y = 6 Equation of perpendicular line is of the form 3x + 2y = K…It passes through (0,2) 2(2) = K = 4 So, Equation is

### math

When the problem says "Angel transformed the following equation from 6x+4-×=2 (×+1) to 10=2 (×+1). He then stated that the solution to the equation is ×=4. Is he correct? Explain" when I solved the equation I got 24=10 and 10=10. However, im having trouble explaining it...

### math

When the problem says "Angel transformed the following equation from 6x+4-×=2 (×+1) to 10=2 (×+1). He then stated that the solution to the equation is ×=4. Is he correct? Explain" when I solved the equation I got 24=10 and 10=10. However, im having trouble explaining it...

### Math (pre calculus)

State whether the given equation is true for all values of the variables (disregard any value that makes a denominator zero) equation one (2/ 4 + x) = (1/2) + (2/x) equation two (1 + x + x^2 / x) = (1/x) + 1 + x

### physics

Which equation would you use when you were describing a flowing viscous fluid? Select one: a. The Bernouilli Equation b. The Poiseuille Equation c. The equation of continuity d. And of the Equation of continuity or the Bernouilli Equation or the Poiseuille Equation.

### math

A dog weighs 44 pounds and the veterinarian thinks it needs to lose 7 pounds. Mikala wrote the equation x+7=44 to represent the situation. Kirk wrote the equation 44-x=7. Which equation is correct? Can you write another equation that represents the situation? Thank you for ...

### Math

One of the "think outside the box" problems in my math work is really challenging me. I need to write and equation expressing: 8 cos theta + 15 sin theta as a single sinusoid I tried graphing to no avail and there is nothing in my textbook about turning an equation like that ...

### Math

4(j)-7=9 Add 7 to both sides of the equation and you get 4 j = 16 Now divide both sides of the equation by 4 and you will find out what the value of j is. Whenever you perform the same mathematical operation on both sides of an equation, you end up with another equation that ...

### Math

Thanks Damon! first I eliminated z by adding equation 1+2 (1st one *2) and got same as urs x+y= 10. Then, I eliminated z by adding equation 2+3 (2nd equation*3, and 3rd equation*2) and got x-y=6. x+y= 10 x-y=6 x=16 why is this wrong?

### Math

1. Solve the equation. -6g = 42 a. g = 7 b. g = -7 c. g = 252 d. g = -252 2. Solve the equation. x/8 = 16 a. x = 128 b. x = 24 c. x = 8 d. x = 2 3. Solve the equation. 12m = 14.4 a. m = 120 b. m = 12 c. m = 1.2 d. m = 0.12 4. Solve the equation. x/3 = -15 a. x = 45 b. x = -45 ...

### Math - Equation of Lines

Determine whether the following pairs of planes are coincident, parallel and distinct or neither. a) x + 3y - z - 2 = 0 and 2x + 6y - 2z - 8 = 0 TEXTBOOK ANSWER: parallel and distinct Can someone show me how to find the vector equation or parametric equation from the scalar ...

### ALGEBRA

The table below shows two equations: Equation 1 |3x - 1| + 7 = 2 Equation 2 |2x + 1| + 4 = 3 Which statement is true about the solution to the two equations? Equation 1 and equation 2 have no solutions. Equation 1 has no solution and equation 2 has solutions x = 0, 1. The ...

1. which equation is equivalent to y - 6 = -12(x+4)? 2. which point is located on the line represented by the equation y + 4 = -5(x - 3)? 3. which equation represents the line that passes through the points (6 -3) and (-4 -9)? 4.The population of a city increases by 4000 ...

### math

determine the equation of the line in y=mx+b form that passes through 1. (-8,1) & (-9, 2) 2. (3,7) & (-5, 9) 3, (-4,0) & (4,6) Part B ) For each equation Rewreite the y=mx+b equation in general form Ax+by+c=0 where A is positive b and C are integers In each problem, put in x,y...

### math

x+y= 30 4x+2y=74 y+ What does the y+ signify? Are you supposed to solve for y? Try doubling the first equation, giving you 2x + 2y = 60 and then subracting the second equation from that. -2x = -14 Solve that easily for x, and then substitute that x in any equation to get y.

### math

Heather is solving an equation by graphing the expressions on both sides. If her graph intersects at an infinite number of points, which statement could describe the equation Heather is attempting to solve? A. One side of the equation is a constant, and the other side of the ...

### math, algebra

How do I solve for the following: Directions solve each literal equation for the individual variable. 2x + 3y -6 (for x ) Linear equation It has to equal something. What you have is a statement, not an equation.

Hi, My equation is 4x^2-8. I think the independent variable for the equation is 4 and the dependent is x. Is that right? I also have to find the domain and range but I'm not sure how to find those for this equation.

### Chemistry

Is the following a properly written thermochemical equation? 2C8H18 + 25O2 → 16CO2 + 18H2O, ΔH = –5,471 kJ/mol No, the equation does not list the enthalpy of reaction. Yes, the equation is correct. No, the equation does not list the states of each substance. No, the ...

### Math

The parametric equation {x=t^2+4t+8 ; y=t+4 a. Reduce the equation to simplest rectangular form b. Determine the Center and the type of graph of the resulting equation. c. Graph the equation in rectangular form

### Math

Could someone please help me. Solve the linear equation by substitution. Y=10-2.2x 5x+y=70 For the first equation I am getting x=21.4 and for the second equation I am getting y=-37. The answers are 21 3/7 and -37 1/7. Could you show me how you do this so I can see where I went...

### Math

This question makes reference to an orthonormal basis (i,j), and an origin O. 1. Consider the triangle ABC, with vertices A(0,-2), B(9,1), C(-1,11). Find: a) a cartesian equation of the altitude from C; b) a cartesian equation of the circle which has BC as a diameter; c) a ...

x+2y=3 5x+4y=8 I isolated x+2y=3 to make: x=3-2y then i began to sub in equation one with equation two: 5x+4y(3-2y)=8 5x+12-8y=8 after that i began to try to solve the equation but my answers were not correct. any help would be greatly appreciated!

### 8th grade math HELP URGENT!!!

Solve Each equation by first dividing each side of the equation by the number outside the parentheses. When would you recommend using this method to solve an equation? Explain. A. 9(x-4)=72. B. 8(x+5)=60

### math

When someone says write an exponential equation, what kind of format is that? I know a linear equation is y = mx + b, but what is an exponential equation?

### solution of an equation

can someone please give me an example of a solution of an equation An equation is a statment with the equal sign = in it. If we have y=2x+3 and we're asked to find x when y=7 then we would have to solve 7=2x+3 The solution of that equation is x=2. Was there a specific equation...

### MATH ,CORRECTION

DIRECTIONS ARE. WRITE THE EQUATION OF THE LINE L satisfying the given geometric conditions. Problem is: L has y-intercept (0,-3) and is parallel to the line with equation y=(2/3)x +1. So, this is what i did: Y=(2/3)x+b....it passes through (0,-3) -3=b so, the equation is: y=(2...

### ordinary differential equation

consider the differential equation d^3x/dt^3 - 9(d^2x/dt^2)+ 27(dx/dt) -27x = c0s t +sin t + te^(3t) a) show that characteristic equation of the differential equation is (m-3)^3 =0 (b) Hence, find the general solution of the equation.

### math

Hi, Im having trouble with this math equation.. if you can, can you please help me and explain. the equation is : 3/7d=5/4 You have to find the solution. Thank you

### math

1-AND PRODUCTION sum of roots of the equation :X²-X-6=0 2-FOR what values of A the equation has no solution ax ² +3 x-7 = 0 3-For what values of x the equation has 2 solution X²-X+C=0 4-Solve the equation (X-1)²-4=0 5-Solve the equation a)2/2 x^(-3)=2√2 b)3^(x^2-2x)=...

### math

Hi, I have a math problem that I can't understand how to write the equation for. The question says: a ball is thrown upwards from an initial height of 20 meters at an initial velocity of 10 meters per second. Write an equation for the height (h) of the ball at time (t). My ...

### math

I need help with write the equation of the line which contains the point (0,negavtive 3), or written ars(0, -3) and whose slope is 4. if you want the equation in the form y = mx + b sub in -3 for y, 4 for m, and 0 for x for -3 = 4(0) + b so b = -3 equation: y = 4x -3 We could ...

### Math

I need some help on this problem: Describe the difference between an open equation and a closed equation. My textbook says that an open equation is one which has a variable, although it never mentions the term closed equation. I tried looking online for the meaning of this ...

### Math

(2,14),(1,-1),(3,35) Find the quadratic function y=ax^2+bx+c 1) 4a+2b+c=14 2) a+b+c=-1 3) 9a+3b+c= 35 equation 1&2 = 3a + b = 13 equation 1&3 = -5a +5b = -21 i know you take those two equations now 3a + b = 13 -5a - 5b = -21 multiply the top by 5 and the bottom equation by 3 ...

### Math

The temperature at sunrise is 65F. Each hour during the day, the temperature rises 5F. Write an equation that models the temperature y, in degrees Fahrenheit, after x hours during the day. I need help writing the equation, I don't want the answer to the equation but I want ...

### Algebra 1

What is an equation of a line perpendicular to the line with equation y = 1 - 3x a.y=-3x + 5 b. y=3x + 5 c.y=-1/3x + 5 d. y=1/3x + 5 To solve the linear system below, which substitution of unkowns is proper ? x + 4y= -6 5x - 3y = -16 a. substitute -4y-6 for x in the first ...

### Math help!

Reduce the equation 3/x + x/3 = -5/2 to the standard form of a quadratic equation ax^2+bx+c=0. The quadratic equation is___?

1. Evaluate. 8d - 10 for d = 4 A.32 B.22*** C.26 D.46 2. write an algebraic expression for the sum of 3 coins and c coins. A.c + 3*** B.c/3 C.3c D.c-3 3. Find the solution of the equation from the given numbers. x - 2 =16: 14, 18, 21, or 12 A.12 B.14 C.18*** D.21 4.use mental ...

### Math (Updated)

Please tell me if these answers are correct: 1. Is ( 0, 3) a solution to the equation y = x + 3? Yes No 2. Is ( 1, -4) a solution to the equation y = -2x? Yes No 3. Look at the following points: ( 4, 0) ( 3, -1) ( 6, 3) ( 2, -4) Which are solutions to y = x - 4 (2 correct ...

### FINANCE/MATH

Please use both M&M proposition II with taxes equation and WACC equation to derive the following equation:? WACC = Ru X [1- Tc(D/V)]? I need this by tomorrow please help.

### math

State the solutions, or estimated solutions, to each quadratick equation. We have equation is x^2-9x+20.25=0 and the graph is y=x^2-9x+20.25 Not sure how to figure this one out. I assume I just solve the equation and not the graph to get the ordered pairs?

### math/Check!

okay so the question is as follows: determien the standard form of the equation of a hyperbola with vertices(+or- 2,0) and passing through (4,3) is this right? x^2/2^2 - y^2/b^2 =1 Since P(4,3) passes through, the x and y coordinates satisfy the equation: 4^2/2^2 - 3^2/b^2 =1 ...

### math/check!

okay so the question is as follows: determien the standard form of the equation of a hyperbola with vertices(+or- 2,0) and passing through (4,3) is this right? x^2/2^2 - y^2/b^2 =1 Since P(4,3) passes through, the x and y coordinates satisfy the equation: 4^2/2^2 - 3^2/b^2 =1 ...

### Math

Solve the system using any algebraic method. 2x - 2y + z = 3 5y - z = -31 x + 3y + 2z = -21 ______________________ The answer I got for this is ( -26, 6,67) but I know its wrong and I don't know why. Help please >< my work is at the bottom I used substitution method ...

### Math (equation of tangent line)

Consider the implicit equation 2xy-1=(x+y+1)^2 a) Compute and solve for the derivative dy/dx as a function of x and y. b) Find the equation of the tangent line to the graph of the above when y=-1. For part a, I found the derivative being equal -(x+1)/(y+1) but how would I find...