Answer
$0,3$
Work Step by Step
Given: $x^4-6x^3+9x^2=0$
or, $x^2(x^2-6x+9)=0$
Need to use factorization to solve the quadratic equation.
This can be factorized as follows:
$x^2(x-3)^2=0$
Set each factor equal to zero, we get
Now, $x^2=0 \implies x=0$ and $x-3=0$
Thus, $x=0,3$
