Originally Posted by

**nmbala** $\displaystyle

3\sqrt{x} = \sqrt{x+9}

$

Evaluating this i can see that both sides of the equation are equal if we de simplify the left side or simplify the right side since 9 is a perfect square....

By problem is i originally attempted to solve this problem by squaring both sides to get rid of the sqrt leaving me with:

$\displaystyle

9x = x+9

$

This is not the same as we now have an inequality. Can someone explain to me what i did wrong... I know it is simpler to just simplify since its a perfect square, but i am not satisfied doin things one way math should always work no matter which way we try to solve an equation.