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

1 Answer
Feb 18, 2016

Answer:

#x= 9 or x=1/9#

Explanation:

Squaring both sides we get #(x+7)- 2*sqrt(x+7)*2sqrtx +4*x =4 #
or # 5*x+3 = 4*sqrt(x(x+7))# Squaring both sides we get # (5*x+3)^2=16*x*(x+7)#or # 25*x^2+30*x+9=16*x^2+112*x# or
# 9*x^2-82*x+9=0# or #(x-9)(9x-1)=0# or #x= 9 or x=1/9#[answer]