Question

Which of the following are solutions to the equation below?

Check all that apply
x2 - 8x + 16 = 5

Answer 1

x =4 ±sqrt(5)

Explanation:

x2 - 8x + 16 = 5

Complete the square

(x-4)^2 = 5

Take the square root of each side

sqrt((x-4)^2) = ±sqrt(5)

x-4 = ±sqrt(5)

Add 4 to each side

x-4+4 =4 ±sqrt(5)

x =4 ±sqrt(5)