Question

Solve (x-3)^2-20=0 for x

Answer 1

x = 3±sqrt(20)

Explanation:

(x-3)^2-20=0

Add 20 to each side

(x-3)^2-20+20=0+20

(x-3)^2=20

Take the square root of each side

sqrt((x-3)^2) = ±sqrt(20)

(x-3) = ±sqrt(20)

Add 3 to each side

x-3+3 = 3±sqrt(20)

x = 3±sqrt(20)