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

x = 3±sqrt (20)

Step-by-step 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)