Question

What is the solution to the equation sqrt (2x + 8) − 6 = 4

someone check my work please.

sqrt (2x+8) - 6 = 4
#1 add 6 to both sides

sqrt (2x+8) - 6 + 6 = 4 + 6
sqrt (2x+8) = 4 + 6 4 + 6 = 10
sqrt (2x+8) = 10
square both sides
(sqrt 2x+8)^2 = 10^2 10^2 = 100
(sqrt 2x + 8)^2 = 2x + 8
2x+8 = 100
x=46

Answer 1

Your solution is correct.