The number of real solutions of the equation x^2-|x|-12=0 is

Question

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

Accepted Answer

$|x|^2-|x|-12=0 \implies (|x|-4)(|x|+3)=0 \implies |x|=4$ (rejecting $|x|=-3$). So $x=\pm4$, giving 2 real solutions.

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