Question

sqrt(x+8)=x-4

Answer 1

Square each side to eliminate the radical sign.

Answer 2

square both sides of the equation

\[(\sqrt{x -8})^2 = (x - 4)^2\]

which leads to

\[x - 8 = x^2 - 8x + 16\]

now you can solve for x.

hope it helps

Answer 3

Make sure to check each solution with the original equation. Keep the one that works and discard extraneous solutions, if any.

Answer 4

\(x+8 = x^2 - 8x + 16\) (x+8 instead of x - 8)