Question

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

Answer 1

`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]