Solving Quadratic Equations: Square Root Property

Question 1

Nancy found that x=1 is one solution to the quadratic equation (x+2)2=a. What is the value of a?

Revolt · Accepted Answer

9

Question 2

What is the first step in solving the quadratic equation x2 – 40 = 0?

Revolt · Accepted Answer

adding 40 to both sides of the equation

Question 3

What are the solution(s) to the quadratic equation 9x2 = 4?

Revolt · Accepted Answer

x = and x =

Question 4

Theo started to solve the quadratic equation (x + 2)2 – 9 = –5. He added 9 to both sides and the resulting equation was(x + 2)2 = 4. Next, he took the square root of each side.Which was the resulting equation of that step?

Revolt · Accepted Answer

x + 2 = ±2

Question 5

Which are the roots of the quadratic function f(b) = b2 – 75? Select two options.

Question 6

What are the solutions to the quadratic equation 4x2 = 64?

Revolt · Accepted Answer

x = −4 and x = 4

Question 7

What values of b satisfy 3(2b + 3)2 = 36?

Revolt · Accepted Answer

b = and

Question 8

What are the solutions to the quadratic equation 3(x − 4)2 = 75?

Revolt · Accepted Answer

x = −1 and x = 9

Question 9

What are the solution(s) to the quadratic equation 50 – x2 = 0?

Revolt · Accepted Answer

x = ±5

Question 10

Miriam reduced a square photo by cutting 3 inches away from the length and the width so it will fit in her photo album. The area of the reduced photo is 64 square inches. In the equation (x – 3)2 = 64, x represents the side measure of the original photo.

Revolt · Accepted Answer

11 inches by 11 inches

Solving Quadratic Equations: Square Root Property Answers

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