Question

Solve the equation by the square root property. (x - 5)2 = 9 What is the solution set? (Use a comma to separate answers as needed.) D​

Answer 1

x =

2 , 8

Explanation:

(x-5)² = (x-5)(x-5) = x*x + x*-5 - 5*x - 5*-5 = x² - 5x - 5x + 25

= x² - 10x + 25

x² - 10x + 25 = 9

x² - 10x + 25 - 9 = 0

x² - 10x + 16 = 0

x = {-(-10)±√((-10)²-(4*1*16))} / (2*1)

x = {10±√(100-64)} / 2

x = {10±√36} / 2

x = {10±6} / 2

x₁ = {10-6} / 2 = 4/2 = 2

x₂ = {10+6} / 2 = 16/2 = 8

Check:

x₁

(2-5)² = 9

-3² = 9

x₂

(8-5)² = 9

3² = 9

Answer 2

See answer below.

All you have to do is input the equation into the square root formula.

Explanation: