Solving Quadratic Equations: Factoring

Question 1

Solve x2 – 64 = 0. Isolate x2: x2 = 64 Apply the square root property of equality: Isolate the variable: x = x =

Revolt · Accepted Answer

8; Selection 1: 8; Selection 2: –8

Question 2

–32–16✔ –8–4

Revolt · Accepted Answer

–8

Question 3

What are the solutions of the quadratic equation 49x2 = 9?

Revolt · Accepted Answer

x = [image 1] and x = [image 2]

Question 4

What are the roots of f(x) = x2 – 48?

Revolt · Accepted Answer

[image 1] and [image 2]

Question 5

What are the possible values of x if (4x – 5)2 = 49? Check all that apply. [image 1] [image 2] 357

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/EVresources/aa604f909e48c546410ee5a1e0a992c7.png; 3

Question 6

Solve for x if 2(5x + 2)2 = 48.

Revolt · Accepted Answer

x = [image 1] and x = [image 2]

Question 7

Joaquin has created a small treasure map that is in the shape of a square. He decides to make a larger version of the map, and on this new map he increases each side by 6 inches. The area of this larger version of the map is 121 square inches. What are the dimensions of his original, smaller map?

Revolt · Accepted Answer

5 inches by 5 inches

Question 8

Miles has a square garden in his backyard. He decides to decrease the size of the garden by 1 foot on each side in order to make a gravel border. After he completes his gravel border, the area of the new garden is 25 feet2. In the equation (x - 1)2 = 25, x represents the side measure of the original garden. The length of each side of the original garden was feet. The area of the original garden was feet2.

Revolt · Accepted Answer

6; Selection 1: 6; Selection 2: 36

Question 9

2024✔ 3649

Revolt · Accepted Answer

36

Question 10

Sonya found that x = is one solution of (6x + 4)2 = . The other solution is x = .

Revolt · Accepted Answer

16; Selection 1: 16; Selection 2: 0

Solving Quadratic Equations: Factoring Answers

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