Question

Can anyone show me how to solve for x in this problem?

x+2sqrt(x) = 8

Answer 1

Square every value to get rid of the radical and then solve the quadratic equation.

Answer 2

\[x^2+(2\sqrt{x})^2=8^2\]

Answer 3

note \[(x + 2\sqrt x)^2 \ne (x)^2 + (2\sqrt x)^2\]
remember the FOIL ;)

Answer 4

so you have
\[x^2+ 4x=64\]

Answer 5

thanks