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

Question

marshall27 [118]

3 years ago

9

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

Mathematics

1 answer:

Elena L [17] · Answer 1 · 2022-09-05T09:01:53+03:00

Elena L [17]3 years ago

3 0

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