$$x^4-6x^3+9x^2 = 0$$
Answer
$$ \begin{matrix}x_1 = 0 & x_2 = 3 \\[1 em] \end{matrix} $$
Explanation
In order to solve $ \color{blue}{ x^{4}-6x^{3}+9x^{2} = 0 } $, first we need to factor our $ x^2 $.
$$ x^{4}-6x^{3}+9x^{2} = x^2 \left( x^{2}-6x+9 \right) $$$ x = 0 $ is a root of multiplicity $ 2 $.
The remaining roots can be found by solving equation $ x^{2}-6x+9 = 0$.
$ x^{2}-6x+9 = 0 $ is a quadratic equation.
You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this equation.
This page was created using
Polynomial Equations Solver