The number of real solutions of the equation,

Question:

The number of real solutions of the equation, $x^{2}-|x|-12=0$ is:

  1. 2

  2. 3

  3. 1

  4. 4

Correct Option: 1

Solution:

$|x|^{2}-|x|-12=0$

$(|x|+3)(|x|-4)=0$

$|x|=4 \Rightarrow x=\pm 2$

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