Question

(x-5)^2 = 49. Solve via method of square roots.

Answer 1

take square root of both sides:
x - 5 = +/- 7

Answer 2

take the square root of both sides.

Answer 3

the answer in the packet says 12 or -2....how do i get there?

Answer 4

solve the 2 equations:

x - 5 = 7 and x - 5 = -7

Answer 5

OHHH thank you

Answer 6

when you introduce a square root, you will have two answers (x-5)^2 = 49 take square root of both sides sqrt((x-5)^2) = sqrt(49) note: sqrt(49) has two solutions. namely 7,-7 (7*7 = 49, -7*-7 = 49) so we have x-5 = 7 AND x - 5 = -7 solving for BOTH we get x-5 = 7 implies x = 12 AND x-5 = -7 implies x = -2