I am supposed to write a quadratic equation using only the solutions and I am only given one solution:4. It can't be (x4)=0. Can I use 0 to make (x4)(x+0)=0?
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ALGEBRA CHECK ANSWERS
Solve each equation by graphing the related function. If the equation has no realnumber solution, write no solution. NOTE: when I write + it has a minus on the bottom too x^2+7=0 a. x= +7 b. x = +3.5 c. x= 0 d. no solution *** 3x^2=0 a. +3 b. +1/3 c. 0

algerba
What is the value of the discriminant, b2 − 4ac, for the quadratic equation 0 = −2x2 − 3x + 8, and what does it mean about the number of real solutions the equation has? What are the solutions to the quadratic equation 4(x + 2)2 = 36 Mischa wrote the

Algebra
Which of the following represents all solutions (x,y) to the system of equations created by the linear equation and the quadratic equation y=x^2+9

math
Write a quadratic equation with real coefficients if one of the solutions is 5 + 7i

Algebra
Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form ax^2+bx +c = 0 The solution is 6 only solution.

Algebra
−2y^2−6y+7=0 step 2 of 2 : Use the discriminant, b2−4ac, to determine the number of solutions of the given quadratic equation. Then solve the quadratic equation using the formula y=−b±sqrt(b2−4ac)/√2a.

linear systems
The statement that is false is A. A system of quadraticquadratic equations can have exactly one solution. B. A system of quadraticquadratic equations has no solutions if the graphs do not intersect. C. It is impossible for a system of linearquadratic

Math
Lesson 8: Systems of Linear and Quadratic Equations Check my work 1. Solve the system of equations. y = 2x^2  3 y = 3x  1 a. no solution b. (1/2, 5), (2, 5/2) c. (1/2, 5/2), (2,5)*** d. (1/2, 5/2), (2, 5) 2.how many real number solutions does the

Math, plz help
How do I write a quadratic equation having the given numbers as solutions of 9 and 3

math
How are the real solutions of a quadratic equation related to the graph of the quadratic function?

ALGEBRA
How do you know if a quadratic equation will have one, two, or no solutions? How do you find a quadratic equation if you are only given the solution? Is it possible to have different quadratic equations with the same solution?

algebra
A system of equations consisting of a linear equation and a quadratic equation ____ has two solutions. a. always b. sometimes c. never ** The solutions given by the quadratic formula are ____ integers. a. always b. sometimes ** c. never Can someone check

Algebra2
Find the polynomials roots to each of the following problems: #1) x^2+3x+1 #2) x^2+4x+3=0 #3) 2x^2+4x5 #3 is not an equation. Dod you omit "= 0" at the end? #2 can be factored into (x+1)(x+3) = 0, so the roots are x=1 and 3. #1 Use the quadratic

Algebra
Write an equation with a variable on both sides of the equal sign that has infinitely many solutions. Solve the equation and explain why it has an infinite number of solutions. Okay so that is the question, I know it's already on Jiskha but I need it to be

Algebra (need help quick)
17. solve the equation using the zeroproduct property. 6x(3x+1)=0 A.x=0,1/3 B.0,1 C.0,1/3 D.0,1 18.Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth. 6x(3x+1)=0 A.x=0,1/3 B.x=0,1 C.x=0,1/3 D.x=0,1 19. A

Math
Write the quadratic equation in standard form that has the given solutions. x:{5, 3}

math please help
Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2 +bx+c=0 The Solution is 10, only solution!

questions
1.) Why are there usually two solutions in quadratic equations? 2.) Under what situation would one or more solutions of a rational equation be unacceptable? If putting the found "solution" cannot be put back into the original equation without violating

math
First try to solve the equation by factoring. If you are unable to solve the equation by factoring, solve the equation by using the quadratic formula. For equations with solutions that are irrational numbers, give exact solutions and approximate solutions

Algebra
A system of equations consisting of a liner equation and a quadratic equation (?) has three solutions. always sometimes never*** The solutions given by the quadratic formula are (?) rational always sometimes*** never

AlgebraB2
A model rocket is launched from a roof into a large field. The path of the rocket can be modeled by the equation y = 0.04x+ 8.3x + 4.3, where x is the horizontal distance, in meters, from the starting point on the roof and y is the height, in meters, of

Algebra
Consider the equation: 4x^2 – 16x + 25 = 0 (a) Show how to compute the discriminant, b^2 – 4ac, and then state whether there is one realnumber solution, two different realnumber solutions, or two different imaginarynumber solutions. (b) Use the

algebra
1.Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in stadard form ax^2+bx+c=0 Solution 7, only solution 2.The width of a rectangle is less than the length. The area is 4ft^3. Find the length and the

college
Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form ax^2 + bx + c =0 The solutions are 10, 3 The equation is blank = 0

Algebra 2
Find all the values of j such that the quadratic equation 5x^2+x+4j=0 has no real solutions. Write your answer as an equality or inequality in terms of j.

algebra
write a quadratic equation in the variable x having the given numbers as the solutions. type the equation in standard form ax^2+bx+c=0 solution 6, only solution

ALGEBRA
What does it mean to give the solutions to the following quadratic equation by examining the graph of the related quadratic function: Graph: y = x^2 + 2x  15 Equation: x^2 + 2x  15 = 0

Algebra
Consider the equation 4x^2 – 16x + 25 = 0. (a) Show how to compute the discriminant, b^2 – 4ac, and then state whether there is one realnumber solution, two different realnumber solutions, or two different imaginarynumber solutions. (b) Use the

Math help please!
Write an equation with a variable on both sides of the equal sign that has infinitely many solutions. Solve the equation and explain why it has an infinite number of solutions. Okay so that is the question, I know it's already on Jiskha but I need it to be

Math
Solve the given quadratic equation exactly using the quadratic formula. Write the solutions in its simplest form. Using a calculator, determine all irrational solutions to the nearest thousandth. Separate the solutions with a comma and list the smaller one

algebra II
How do you know if a quadratic equation will have one, two, or no solutions? How do you find a quadratic equation if you are only given the solution? Is it possible to have different quadratic equations with the same solution? Explain. Provide your

algebra II
How do you know if a quadratic equation will have one, two, or no solutions? How do you find a quadratic equation if you are only given the solution? Is it possible to have different quadratic equations with the same solution? Explain. Provide your

Algebra II
1)What method(s) would you choose to solve the equation: x2 + 2x  6 = 0 A. Square roots; there is no xterm. B. Quadratic formula, graphing; the equation cannot be factored easily since the numbers are large. C. Factoring; the equation is easily factored.

Factoring
What does 3x^33x+2=0 come out to? How would I solve this? Is the x cubed supposed to be x squared? You can compare the equation with the identity: (a+b)^3 = a^3 + 3 a^2 b + 3 a b^2 + b^3 which you can rewrite as: (a + b)^3 = 3 ab (a + b) + a^3 + b^3 (1)

Math(Algebra)
An arrow is shot vertically upward from the top of a cliff 80 feet tall, with an initial velocity of 64 ft/s, (the acceleration due to gravity is 16ft/sec). a. Write the quadratic equation representing this scenario when h is 0. b. Find the roots

maths
which solution is the correct for this equation 4x^3  3x = 15 1.8, 1.7, 1.6, 1.5, 1.5, 1.6, 1.7, 1.8 ?? What is your thinking, and why? Have you considered graphing y= 4x^3 3x 15 ? Kat, what level of study are you at. This is an equation which can

Algebra
I was given this answers to a problems I solved but I do not understand what she means hope you can help. Before attempting to solve this quadratic equation, determine how many solutions there will be for this quadratic equation. Explain your reasoning.

Algebra
I was given this answers to a problems I solved but I do not understand what she means hope you can help. Before attempting to solve this quadratic equation, determine how many solutions there will be for this quadratic equation. Explain your reasoning.

math
State the solutions, or estimated solutions, to each quadratic equation in Exercises 23–26 by examining the graph of the related quadratic function equation 2x2  3x  4 = 0 and Graph:y=2x^23x4 Can someone help me with this

Math
x^3 + 1.85x^2  x +0.15 = 0 how can you solve for x? An exact solution or a numerical solution? Exact solutions can be obtained as follows: x^3  1.85x^2 + x  0.15 = 0 First get rid of the quadratic term by substituting: x = (y + 1.85/3) You then obtain

algebra
Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2+bx+c=0 sqrt3, 3sqrt3

help!!!!!!!!!!
When factoring a trinomial, why is it necessary to write the trinomials in four terms?" You keep posting this without any thinking. Can this be factored in four terms? 10x^5 + 2x + 17 Perhaps you are meaning factoring the "quadratic" (a polynomial of

algebra 1 connexus
The equation c=−g2x2+v0x+h0 gives the instantaneous height, c, of a projectile based on a given realworld scenario. If h0=0, for what values of c is there exactly one solution for x? Explain.(1 point) a ) There is exactly one solution for x only when c

Algebraic
Determine the roots of the quadratic equation by completing the square. Solve for exact solutions and approximate solutions. Check your solutions. Y=x26x12

Algebra
√3, 3√3 Write a quadratic equation in the variable X having the given numbers as solutions. Type in standard form ax^2 + bx +c =0

math
How are the real solutions of a quadratic equation related to the graph of the quadratic function?

MATH
Sketch the graph of a quadratic function for which the related quadratic equation has only one solution. Then, sketch one that has two solutions. Explain how you know by looking at the graph the number of solutions there are.

math
Sketch the graph of a quadratic function for which the related quadratic equation has only one solution. Then, sketch one that has two solutions. Explain how you know by looking at the graph the number of solutions there are.

algebra
0. Tell your classmates about your pet to set up the scenario for fencing a rectangle in your yard. 1. You MUST start by choosing an amount of area that you want to fence in for your pet and this MUST be stated first. What amount of area are you enclosing

ALGEBRAMAT117
How do you know if a quadratic equation will have one, two, or no solutions? How do you find a quadratic equation if you are only given the solution? Is it possible to have different quadratic equations with the same solution?

Algebra
How do you know if a quadratic equation will have one, two, or no solutions? How do you find a quadratic equation if you are only given the solution? Is it possible to have different quadratic equations with the same solution?

Math ,help
how can i simplify this more its for the following problem: Problem #22 solve by using the quadratic formual. 5x^24x+1=0 this is where i am but i do not know how to go further. x = (4 (+/) sqrt (4))/(10) Problem #23 Solve by completing the square.

Algebra
The following equation has three solutions. Look for the greatest common factor, then use the quadratic formula to find all solutions. 10t^5 + 5t^4 = 50t^3

maths
does this quadratic equation: 3x^2  2x  9 = 0 have two solutions?? or none? and if there are solutions will it be either 1.431 or 1.431 (correct 2 3 decimal places) or 4 also 2.097 remember there is a + or  sign in the equation. You have to try both.

algebra
write a quadratic equation having the given numbers as solutions 6  sqrt(2) , 6 + sqrt(2) thanks for any help

Algebra 2
How are the real solutions of a quadratic equation related to the graph of the quadratic function? Please help? How do I make a realworld situation out of this?

Math
You are supposed to come up with an equation to solve this problem. I have figured out how to do it, just not what the equation is supposed to look like. Anyways, here is the word problem. The taxi fare in Gotham City is $2.40 for the first .5 miles, and

Math
BAC= 90 dgrees. The lenght of the three sides are xcm, (x=7) and x+8)cm. a. Write down and simplify a quadratic equation in x which links the three sides of the triangle. b. Solve the quadratic equation found in part (a) c. Write down the value of the

math
What is the connection between the solutions of the equation ax^2 + bx + c = 0 and the x intercepts of the graph f(x) = ax^2 + bx + c? I'm confused here  aren't they the same thing except one is the equation of a quadratic equation and one is a graph? So

ALgebra
BAC=90 degrees. The length of the three sides are x cm, (x+7) cm, and (x+8) cm. a. Write down and simplify a quadratic equation in x which links the three sides of the triangle. b. Solve the quadratic equation found in (a) c. Write the value of the

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

Algebra
I really need help on some sample work. Just need to check my answers: 1. Describe how the graph of y=x^2+1 differs from y=x^2. Then find the axis of symmetry and the vertex 2. Graph the quadratic equation y=x^2+x2. Identify the axis of symmetry and the

Algebra
I really need help on some sample work. Just need to check my answers: 1. Describe how the graph of y=x^2+1 differs from y=x^2. Then find the axis of symmetry and the vertex 2. Graph the quadratic equation y=x^2+x2. Identify the axis of symmetry and the

Math
Solve the given quadratic equation exactly using the quadratic formula. Write the solutions in its simplest form. Using a calculator, determine all irrational solutions to the nearest thousandth. Separate the solutions with a comma and list the smaller one

Algebra Quadratic Equations
I am supposed to write a quadratic equation using only the solutions and I am only given one solution:4. It can't be (x4)=0. Can I use 0 to make (x4)(x+0)=0?

Quadratic Make up a problem
I am supposed to write a quadratic equation in the varible x having the given numbers as solutions. Type the equation in standard ax^2+bx+c=0 my solution is 1, only one solution. The equation is __________=0?

algabra
Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard from, as^2+bx+c=0 the solutions are (3,1)

Math
Write a quadratic equation having the given numbers as solutions. 5 and 2 The quadratic equation is: __=0 Thank you.

math
The solutions to a quadratic equation are 3/8 and 2/5. Write the quadratic equation in standard form show all appropriate work. (standard equation: f(x)=a(xh)^2+k)

College Algebra
Write a quadratic equation having the given solutions 14 and 9

Algebra
How would I write a quadratic equation having the given numbers as solutions 4i, 4i

algebra
write a quadratic equation having the given numbers as solutions. 4 and 1 thank you

Algebra
I am using a TI83 calculator to find all the solutions to the quadratic equation (5x(Squared)  80 = 0)by graphing. The answer is supposed to be (4 and 4) but the calculator comes up with (ERR: NO SIGN CHNG). Can you tell me what I'm doing wrong?

algebra
Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2+bx+c=0. Solution:2

algebra
write a quadratic equation having the given numbers as solutions. 6 and 4 Not sure how this is to be written into an equation. Please help. Thank you

Math
Solve the following quadratic equation(as exact values) using the quadratic formula. x^210x15=0 I got 5+2sqrt10/2. ^ Sorry hard to write it out. But basically there is a 5 there, the negative sign is supposed to be under the positive sign, then there is

algebra
Write a quadratic equation in the variable x, having the given numbers as solutions. Type the equation in standard form, ax^2+bx+c=0. The soluation is 8 and is the only solution.

math!HELP!!
write a quadratic equation in the variable x having the given numbers as solutions. Use ax^2 + bx + c=0 Thanks so much for the help

algebra
14, 9 write a quadratic equation with these solutions. With 1 being there greatest common factor

College Algebra
Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2 +bx+c=0 The Solution is 7, only solution!

Math
I am stumped could someone please explain this problem? Give the solutions to the following quadratic equation by examining the graph of the related quadratic function: Graph: y=x^2+2x15 Equation: x^2+2x15=0 Thanks so much.

Math
I am stumped on this problem could someone please help? Give the solutions to the following quadratic equation by examining the graph of the related quadratic function: Graph: y=x^2+2x15 Equation: x^2+2x15=0 Thanks.

Math!!!!
I am getting desperate. Can someone please help me with this and thank you in ADVANCE!!!! WRITE A QUADRATIC EQUATION IN THE variable x given the solutions: sqrt7, 7sqrt7.This needs to be in the standard form ax^2 + bx+c=0. I really need help as this is

Math Algebra
This one showed up in the middle of my quadratic equations. There is no y or 0. What am I supposed to do with it? Give exact and approximate solutions to three decimal places. (x+5)^2=81

CountIblis, can i bother you
Countiblis, i know that you might be busy do you mind if i ask you the following for help.Only if you can please. can you explain to me just one more thing so i can undestand it. Now i have an equation which is : 3x = 3x + 5 which I know has no solution to

algebra
i have very little information in my math book on the following questions. can you either tell me the answer or a link where i can find my own answer. thanks How do you know if a quadratic equation will have one, two, or no solutions? How do you find a

trig
find the exact solutions (è in degrees) sin^2è+2cosè=2 change the sin^2 to 1cos^2, then rearrage the equation into quadratic form, use the quadratic equaion.

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 2x3=17 5x+3=12 A. equation #1 and equation #2 have the same number of solutions B.

math
just an algebra question. how would you solve: (3x^2 +5)(3x^2 +5) ^ means power :] Since you have not given us an equation, it is impossible to "solve" your problam. Please repost with the complete equation, so we can help you. I hope this helps a little.

math
I'm supposed to factor this: 3z^217z+24 I used the quadratic equation, but I'm not sure if that's what I was supposed to use to get the answer. This is how I worked it... (17)+/sqrt(17^24(3)(24)  2(3) 17+/sqrt(289288)

Algebra
1)Find the exact solutions to 3x^2=5x1 using the quadratic formula. answer=5 plus or minus the square root of 37 over 6 2)Use the discriminant to determine the number and type of roots for the equation 2x^27x+9=0 answer=2 complex 3)Identify the

Algebra
For this equation x^(2) + x + 2 which you can't factor but then you can use the quadratic formula but than why is the answer no real solutions when I can use the quadratic formula?

Algebra II
I am expected to use the quadratic equation for the following: x2 + 3x – 4 = (x + 4)(x – 1) = 0. Once this is plugged into the value of x (the long equation, which I am unable to copy from the internet, but it goes 3 plus or minus the square root

Mat/117 DQ1
How do you know if a quadratic equation will have one, two, or no solutions?Please give examples. How do you find a quadratic equation if you are only given the solution? Please give an example.Is it possible to have different quadratic equations with the

Math
Write a quadratic equation having the given number as solutions 7 and 4 I cant think of how to do this?

math
Write a quadratic equation having the given number as solutions: c/2 and d/2

algebra
Why are there two solutions in the quadratic equation and Why do you factor a quadratic equation before you solve it

Algebra
Find the solution set of 2√x = x  3. A. {1, 9} B. {9} C. {1, 9} I got a quadratic and factored it as (x  9)(x  1). Then the solutions are x = 9 and x = 1. But the answer is supposed to be just 9. However, wouldn't x = 1 also work, if we do √1 = 1?

algebra
algebra, write a quadratic equation in the variable x having the given numbers as solutions ã10, 6ã10

maths
for this quadratic equation: y24y16 = 0 which two options are correct solutions, rounded to three decimal places? 1) 4.483 2) 3.243 3)2.472 4) 1.472 5) 0.536 6) 5.243 7) 6.472 8) 12.443 Use the quadratic equation, we will be happy to critique your