Apply your knowledge of square roots to solve equations involving them. Show your step-by-step solution. Remember, each problem should have two solutions.

(7x-2) ^2 = 256

Remember to include the positive and negative roots

(7x-2) ^2=256

sqrt both sides

7x-2=+/-16

add 2 to both sides

7x=2+/-16

divdide both sides by 7

x = (2+/-16) / 7)

x = (2+16) / 7=18/7=2 and 4/7

x = (2-16) / 7=-14/7=-2

x=2 and 4/7 or - 2