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

1 Answer
Feb 18, 2016

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]