Solving Quadratic Equations: Square Root Property

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. What were the dimensions of the original photo?

11 inches by 11 inches

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. What were the dimensions of the original lawn?

20 feet by 20 feet

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

9

What is the first step in solving the quadratic equation x2 = 9/16

Take the square root of both sides of the equation.

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

b = -3+2√ 3/ 2 and -3 -2√3/ 2

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?

x + 2 = ±2

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

x = 4 and x = -4

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

x = −4 and x = 4