Question

Find the number of solution of the equation

$|x{|}^2-3|x|+2=0$.

Answer 1

Given the equation,

$|x{|}^2-3|x|+2=0$

or, $|x{|}^2-2|x|-|x|+2=0$

or, $(|x|-1)(|x|-2)=0$

or, $|x|=1$ and $|x|=2$

or, $x=\pm 1$ and $x=\pm 2$.

So the number of solution is $4$.