# math- solving quadratic equations by factoring

141,482 results

### Algebra Quadratic Equations

I am trying to define the different appraoches to solving quadratic equations. My book says using quadratic formula, completing the sqaure and factoring. I thought completing the square would be by facotring? How are these two different?

### MATH

Which method of solving quadratic equations should be used when only an estimated solution is necessary? factoring quadratic formula graphing MY GUESS GRAPHING?

### Math(solving a quadratic by factoring)

These simple ones kill me: 16y^2=49 Thanks

### math

please anwer these: 1) how can i multiply and divide polynomials containing radicals? 2) how can i solve radical equations? 3) how can i solve qudratic equations by factoring ? 4) how can i solve quadratic equations graphically ? thank you !!!!!

### Algebra

Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula. (Enter your answers as a comma-separated list.) (x+2)^2 + (x-7)(x-2)=16

### Algebra II

How do you find the vertex of a quadratic function? What are the steps to solving a quadratic function using factoring? Please help!

### algebra

Quadratic equations can be solved by graphing,using the quadratic formula, completing the square, and factoring. What are the pros and cons of the methods. when would each be appropriate?

### Math - solving quadratic equations with factoring

A person jumps off a 20m high cliff into water below. The height of the person above the ground at time t seconds is given by the equation h=-5t^2+30. How long does it take the person to reach the half way mark to the water?

### math 117

Quadratic equations may be solved by graphing, using the quadratic formula, completing the square, and factoring. What are the pros and cons of each of these methods? When might each method be most appropriate? Which method do you prefer? Explain why.

### solving quadratic equations by factoring

Sheila has a picture frame that measures 20 cm by 30 cm. If she puts a mat inside the frame that decrease the picture by 264cm^2, how wide is the mat?

### 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 (solutions) for this ...

### Math help

I need help on these problems. There over solving equations by factoring. 1.4x^2=8

### Math (Algebra)

Could someone help to explain to me how factoring is used to solve quadratic equations?

### Math help

I need help on these problems. There over solving equations by factoring. Don't get it at all. 1. (Y+5)(Y-7)=0 2. 2n(n-20)=0 3. (2t-3)(3t-2)=0 4. (2u+7)(3u-1)=0

### Algebra

Factor quadratic expressions: 2x^2 + 9x + 4 10x^2 + 70x + 100 Solve quadratic equations by factoring: 2x^2 + 9x + 4 = 0 Solve by taking square roots: (x - 5)^2 - 81 = 0

### math- solving quadratic equations by factoring

a ladder is resting against a wall. the top of the ladder touches the wall at a height of 12 feet. Find the distance from the wall to the bottom of the ladder if the length of the ladder is 12feet less than twice its distance from the wall.

### Math

Explain how factoring is used to solve quadratic equations. Demonstrate the process with an example.

### Algebra 1

Which method is the best method for solving the equation 8x^2-123x+3=0 square roots factoring graphing quadratic formula my answer is quadratic formula

### Math help

I need help on these problems. There over solving equations by factoring. 1. 4x^2=9 2. M^2-36=16M 3. R^2+9=10r 4. 6s^2=17s-12

### ALGEBRA

Quadratic equations can be solved by graphing, using the quadratic formula, completing the square, and factoring. What are the pros and cons of each of these methods? When might each method be most appropriate? Which method do you prefer?

### algebra2

9x(squared)+3x+16=0 factoring quadratic equations

### algebra 2

how do you solve quadratic equations by factoring?

### math

solving quadratic equations 8s^3=72s

### math (factoring quadratic trinomials)

i am doing factoring with quadratic trinomials, And I don't understand any of it! The problem im working on is 5p2-22p+8 I factored it out to be (5p2-20p)(40p2-2p) I am so stuck, can anyone help

### ALGEBRA--MAT 117

Quadratic equations can be solved by graphing, using the quadratic formula, completing the square, and factoring. What are the pros and cons of each of these methods? When might each method be most appropriate? Which method do you prefer? Why?

### Math

Solving quadratic equations by graphing? 3. x2-4x + 6 = 0 4. x2-4x-1=0 5. 4x2-12x + 3 = 0 6. x2-2x-4=0

### math

I'm doing solving quadratic equations.I need help with couple of problems. k(k+5)=0,4r^2=100

### Mat/117 DQ2

Quadratic equations may be solved by graphing, using the quadratic formula, completing the square, and factoring. What are the pros and cons of each of these methods? Please provide examples. When might each method be most appropriate? Which method do you prefer? Explain why.

### Math(solving a quadratic by factoring)

Ok I get most of the problems except for these last two. x^2-16=0 and x^2=36 I seem to have trouble with the simplest of problems and none at all with the hard ones.

### ALGEBRA

Explain how factoring is used to solve quadratic equations. Demonstrate the process with an example.

### Math (Algebra) Repost from July 27, 2010 at 4:13pm

Could someone help to explain to me how factoring is used to solve quadratic equations? Also could you give me some example to try? Thank You.

### math algebra

Part 1: Which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring and why? 1. −b 2. b2 − 4ac 3. 2a Part 2: Create your own quadratic equation. Using complete sentences, and your answer from part 1, determine whether ...

### Algebra:quadratic equations

How do you solve this by factoring? 4p^2 + 121 = 44p I seriously don't understand and it's frustrating for me. Please help. (:

### algebra

Can someone help me explain how factoring is used to solve quadratic equations? I can't find an explaination anywhere.

### solving quadratic equations by factoring

the original dimensions of a rectangle were 15 by 20 cm. when both dimensons were decreased by the same amount, the area of the new rectangle is half the area of the original rectangle. find the dimensons of the new rectangle.

### solving quadratic equations by factoring

the original dimensions of a rectangle were 15 by 20 cm. when both dimensons were decreased by the same amount, the area of the new rectangle is half the area of the original rectangle. find the dimensons of the new rectangle.

### Algebra II

Need help please. Thank you. 1. Determine whether the function has a maximum or minimum. State that value. f(x)= -2x^2-4x 2. Determine what c would in order to complete the square. x^2-5x+c 3. Solve the quadratic by factoring. 3x^2-16x+5=0 4. Solve the quadratic by factoring. ...

### Quadratic Equations

I couldn't find the sets of factors that add up to -13 in this problem. Plz help, anything is greatly appreciated! x^2-13x+36 Thx for helping ppl! you could use the quad. eqn which is -b plus or munus sq root of b squared minus 4 ac all over 2 a That is a good idea but I need ...

### 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+4x-5 #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 equation for the roots [-b...

### Math!Please Help Me!

Solve the following quadratic by either factoring or using the quadratic formula: 6x2 - 5x = 6 6x^2 -5x -6 = 0 (3x+2)*(2x-3) = 0 Take it from there

### math help how do i do this

Decide which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring. −b b^2 − 4ac 2a Use the part of the quadratic formula that you chose above and find its value, given the following quadratic equation: 4x^2 + 6x + 2 = 0

### Math

Solving quadratic equations by completing the square. Could you show me every step how to do it. That way I'll know probably know how to do the other ones. With that method you use. 1/2x^2 + x -13 = 0

### math

Describe the importance of quadratic equations to a basketball player, diver, or even a sniper. Give an example of a real-world situation where you would apply quadratic equations

### math

Jenny wanted to solve the quadratic equation x2 - 11x +18 = 0 by factoring. Which of the following equations would lead her to solve the given equation?

### Algebra 2

I need to know how to solve quadratic equations by factoring. Can you so a step by step explanation to this sample problem? 2 x -12x-28

### Pre algebra

How do I solve Quadratic equations by factoring? (for example how would I solve n2 - 10n = -21 if I was supposed to get the answers 7 and 3?

### math help plsss plsss

Decide which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring. −b b^2 − 4ac 2a Use the part of the quadratic formula that you chose above and find its value, given the following quadratic equation: 4x^2 + 6x + 2 = 0

### Algebra Question

Quadratic equations can be solved by graphing, using the quadrat completing the square, and factoring. What are the pros and cons these methods? When might each method be most appropriate?

### math

Hi, How could I find the line of best fit? I plotted each of the equations I had for a problem I'm solving. The equations were linear (y=ax+b) and quadratic (y=ax+b+c). I'm supposed to find out which line is the most appropriate for the data that is given to me. When looking ...

### Math (Algebra 2)

Factoring by Using a Quadratic Form Problem: x^4 + 8x^2 - 20 What I have so far: (x^2)^2 + 8(x^2) - 20 a^2 + 8a - 20 For some reason my textbook says to substitute the (x^2) with (a) as you can see in the las step. The next step after that is factoring [a^2 + 8a - 20].

### Math

Learning about quadratic functions and equations, and I am struggling. It's so easy for others to understand, but math is my weakness, would appreciate all the help you could give. Notes and stuff would be great, as long as I understand. Quadratic Functions and Equations, ...

### MATH

im doing solving radical equations how do i do the squareroot of x+1=x+1 the squareroot is only around the first x+1 i got to the part 0=x^2+x is this right and if it is do i factor it or use the quadratic equation. thnx for the help!!!

### Alg 1 quadratic equations

I'm doing quadratic equations x^2 +bx+c =0. I know how to questions like x^2 +17x +42 =0 but this one says, j^2-9jk-10k^2. I have no clue on what I need to do

### Algebra

Which is the easiest way to figure a quadratic equation; graphing, quadratic formula, completing a square and factoring?

### Math

What are the differences between linear and quadratic equations? How are these differences displayed in a graph? Write a brief scenario that can be modeled with a linear equation. Summarize a situation modeled by a quadratic equation. Are there equations that are neither ...

### Algebra (Quadratic Equations)

Is the point (-3, -2) a solution of the intersection of the following set of quadratic equations: Y < - X ^ 2 X^2 + Y^2 < 16

### algebra attn Reiny

Thanks for your help with the solving of the three equations! Yes, it was a typo. I just finished solving it a long way, solving for the 1st 2 equations then the 2nd and 3rd and plugging in variables...etc. etc. Your way gave the same answer, but quicker, does your way always ...

### Solving Quadratic Equations

Perform step 1 on the equation. x^2+5X-6=0 and x^2+5x-6=0. How would i do this type of problem. I am so lost right now. I need some help

### 8th Grade Algebra

You know how to solve quadratic equations using algebra, graphs and the quadratic formula. Sometimes one method of solving is more convenient than another method. Describe how you would solve each equation. Give reasons for you answers. A) 16x^2 = 1600 B) x^2 - 350 = 0 C) x^2...

### Algebra

How can you tell if an equation is quadratic and not linear? Quadratic equations contain a term that is squared (such as x^2). Linear equations are of the form y = mx + b, where m and b are constants. the variable in a quadratic equation must be squared ..but in linear ...

### MATH ALGEBRA

Holly has a rectangular garden that measures 12m by 14m. SHe wants to increase the area to 255m^2 by increasing the width and the length by the same amount. What will the dimensions be of the new garden ? -solving that involves quadratic equations

### MATH ALGEBRA

Holly has a rectangular garden that measures 12m by 14m. SHe wants to increase the area to 255m^2 by increasing the width and the length by the same amount. What will the dimensions be of the new garden ? -solving that involves quadratic equations

### Algebra

Create a system of equations that includes one linear equation and one quadratic equation. Part 1. Show all work to solving your system of equations algebraically. Part 2. Graph your system of equations, and show the solution graphically to verify your solution.

### Algebra 2 (Quadratic Equations)

Is the point (-3, -2) a solution of the intersection of the following set of quadratic equations: Y < -X^2 X^2 + Y^2 < 16 I'm not sure how to actually work this problem out. Can anyone help me with this problem please.

### MATH

I've been having problems with solving equations that involve fractions with the following problem can I get some help for solving equations that involve fractions? x+1=2/3x Thanks for the help.

### math

solve quadratic equation by factoring 5x^2-6x-11=-3

### Quadratic Equations

Find two consecutive integers, the sum of whose squares is 1 more than twelve times the larger. (Please provide the steps/explanation for solving this problem)

### college geomrtry

What are the differences between linear and quadratic equations? How are these differences displayed in a graph? Write a brief scenario that can be modeled with a linear equation. Summarize a situation modeled by a quadratic equation. Are there equations that are neither ...

### math

factoring to solve quadratic equation 5x^2=16x+45

### math

-x squared -2x +4 solve quadratic equation by factoring

### Math - Algebra

A. Solve the following quadratic equations. Make sure to show all your work. Do not use any method (e.g. factoring, completing the square, quadratic formula, graphing) more than twice. Use the graphing method at least once. 1. 3x+2 + 11x -20 =0 2. x2 + 3x -4 =0 3. 3x2 - x - 1...

### Algebra

Solving quardratic equations using factoring. 2X^2+2X-4=0 The book says the answer is -2,1. I got the -2,1 but not in the order of -2,1. I used FOIL to solve. When I use -2,1 I don't can not solve. When I use 1,-2. I can solve. I am not clear.

### Alg 1

Solving quadratic equations: What is the radius of the largest circular quilt that can be made with an area less than or equal to 70 ft^2? Round your answer to the nearest tenth of a foot if necessary. Please solve and explain. Thanks

### math

How to solve this quadratic equation by factoring? 10x2 - 19x -15 = 0

### math

1.Use factoring to solve the quadratic equation. x2 - 64 = 63x

### Quadratic Equation (math)

-10x^2 + 7x - 1 = 0 Use factoring to solve

### Algebra

Solving Linear Equations and Inequalities Solve by eliminating x (this is solving 3 linear equations) then substitute to the other two equation x + y + 5z =2 (1) 4x - 3y + 5z =3 (2) 3x - 2y + 5z=1 (3) my teacher gave me the answer she said the solution set for this should be...

### Algebra 2

Solving Quadratic Systems x^2+y^2=2 x^2-6y=10 I'm having trouble solving this problem.

### Algebra 2

Solving Quadratic Systems 2x^2+5y^2=53 4x+y^2=17 Please show work I'm having trouble solving it.

### Algebra 2

Solving Quadratic Systems x^2+y^2=2 x^2-6y=10 Please show work I'm having trouble solving it

### Algebra 2

Solving Quadratic Systems x^2+y^2=20 x^2-6y=28 PLEASE SHOW WORK I'M HAVING TROUBLE SOLVING IT

### Math

A: Solve the following equation: k2 + 4k = 0 A: By factoring B: By using the quadratic formula

### Math

Use factoring to solve the quadratic equation. 5x2 - 25x + 30 = 0

### Math

Solve the equation by first factoring the quadratic expression. 1. x2+4.5x=0 2. x2-9x=0 3. -x2+10x=0

### Math

Solve the equation by first factoring the quadratic expression. 1. x2+4.5x=0 2. x2-9x=0 3. -x2+10x=0

### Maths (Linear and Quadratic Equations)

I need to solve a pair of equations where one is linear and the other is quadratic. 2x2 + 3xy + y2 = 0 3x + y = 2 last 2 in 2x2 is square root two, same after y2. help please!!!!!!!!!!!!!!!

### Algebra I DONT KNOW HOW TO DO 3 VARIABLES

Solving Linear Equations and Inequalities Solve by eliminating x (this is solving 3 linear equations) then substitute to the other two equation x + y + 5z =2 (1) 4x - 3y + 5z =3 (2) 3x - 2y + 5z=1 (3) my teacher gave me the answer she said the solution set for this should be...

### Algebra 2

Solving Quadratic Systems 16x^2-9y^2=144 y=9-x^2 Please show work I'm having trouble solving it.

### quadratic solutions

Find the solutions to each quadratic by factoring x^2+3x-18=0 3x^2-9x=o x^2-10x+21=0 5x^2+30x+45=0

### Algebra

A monic quadratic is a quadratic in which the coefficient of the quadratic term is 1. For example, r^2 - 3r + 7 is a monic quadratic, but 3t^2 - 3t + 1 is not. A teacher writes a monic quadratic on the board. Joanie copies the quadratic onto her paper, but writes down the ...

### Algebra

A monic quadratic is a quadratic in which the coefficient of the quadratic term is 1. For example, r^2 - 3r + 7 is a monic quadratic, but 3t^2 - 3t + 1 is not. A teacher writes a monic quadratic on the board. Joanie copies the quadratic onto her paper, but writes down the ...

### MATH

can someone explain how an quadratic equation with factoring and give an example,PLEASE!

### MATH

can someone explain how an quadratic equation with factoring and give an example,PLEASE!

### Math

How would I expand this two quadratic equations and find a & x for both of them? Here are my equations: y=a(x+1.5)^2+0 y=a(x+2)^2+1.5

### Math

(Factoring a sum or difference of cubes) and (solving a polynomial equation). 2x^3+2=0

### MATH

Hi, I'm trying to understand what a quadratic equation is. I understand that in a quadratic equation you have to have a variable in the second power. Why, then, aren't y = x^2 + 2x^3 and Y = 2x^2 + 3 times the square root of x quadratic equations? They both have powers of x ...

### Math

Solve the equation by factoring, by finding square roots, or by using the quadratic formula. 3(x+4)^2= -27

### Chemistry

When solving Hess law problems,do we need to use all the equations given to get the Htotal or just choose the relevant equations that are related to the final equation required? Let's say there r 5 equations given,but the relevant equations are 3 only ,so we can neglect the ...

### Math

I need help solving this equation using the Factoring Completely method. X⁴-x³