1. Tardigrade
  2. Question
  3. Mathematics
  4. The number of solutions of the equation |x|-9|x|+8=0 is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The number of solutions of the equation $|x|-9|x|+8=0$ is ___

Quadratic Equations

Solution:

$ |x|^2-9|x|+8=0 \Rightarrow|x|^2-8|x|-|x|+8=0 $
$\Rightarrow(|x|-8)(|x|-1)=0 \Rightarrow|x|=8 \text { or }|x|=1 $
$ x= \pm 8 \text { or } x= \pm 1 $
$ \therefore \text { Number of solutions is } 4 .$