Solving Quadratic Equations: Square Root Property

Question 1

What are the solutions to the quadratic equation x2 – 16 = 0?

Revolt · Accepted Answer

x = 4 and x = –4

Question 2

Jillian is trying to save water, so she reduces the size of her square grass lawn by 8 feet on each side. The area of the smaller lawn is 144 square feet. In the equation(x – 8)2 = 144, x represents the side measure of the original lawn.

Revolt · Accepted Answer

20 feet by 20 feet

Question 3

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

Revolt · Accepted Answer

b = and

Question 4

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

Revolt · Accepted Answer

x = −4 and x = 4

Question 5

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 6

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

Question 7

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

Question 8

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

Revolt · Accepted Answer

x = ±5

Question 9

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

Revolt · Accepted Answer

Take the square root of both sides of the equation.

Question 10

What are the solution(s) to the quadratic equation x2 – 25 = 0?

Revolt · Accepted Answer

x = 5 and x = –5

Solving Quadratic Equations: Square Root Property Answers

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