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

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

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

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

So, four solun exists for the given equation.