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#