The number of real solutions of the equation $x^2-3|x|+2=0$ is

The number of real solutions of the equation $x^2-3|x|+2=0$ is
  1. 3
  2. 2
  3. 4
  4. 1

Solution

$x^2-3|x|+2=0 \quad$ or $(|x|-2)(|x|-1)=0$ $|x|=1,2$ or $x=\pm 1, \pm 2$ or $\therefore$ No. of solution $=4$

Asked in: JEE Main 2003

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