# Solve for x

#### Joker37

$\displaystyle x^3 - 2x^2 + 1 =0$

I've tried using the quadratic formula but the only solution I am getting for x is 1. It is supposed to have solutions of approximately x=-0.62 and x=1.62 also, but where do you get these answers.

Anyway, if anyone could show complete working out to see how I didn't get these solutions it will be appreciated!

#### Plato

Well it is not a quadratic.
Note that $\displaystyle x=1$ is a root so $\displaystyle (x-1)$ is a factor.

Joker37

#### Joker37

Oh, yeah that's the factor theorem, right?
So, you use the factor theorem to solve for cubic and higher degree equations?