What is the best way to find the roots? In Calculus, mainly when we compute areas we face equations like
$$x^\frac{1}{2}=x^2$$
I know that I can take the square root of the both sides. Does anyone know another way to find the roots of the equation?

$$\begin{align} x^{1/2} = x^2 & \iff x^{1/2}(1-x^{3/2}) = 0\\ \\  & \iff x^{1/2} = 0, \quad \text{or}\quad x^{3/2} = 1 \\ \\ & \iff \quad  x = 0\quad \text{or}\quad x = 1\end{align}$$
