How do you solve 5 sqrt(x-2) =7?

2 Answers
May 15, 2015

sqrt (x - 2) = 7/5

Square both sides:

x - 2 = 49/25 -> x = 49/25 + 2 = 99/25

May 15, 2015

5sqrt(x-2) = 7

Divide both sides by 5

sqrt(x-2) = 7/5

Square both sides

x-2 = (7/5)^2 = 49/25

Add 2 to both sides

x = 2 +49/25 = 3 24/25

or to look like Katie's answer for those who prefer decimal fractions

x = 3.96