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  4. The number of real solutions of the equation, x2-|x|-12=0 is:

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

JEE MainJEE Main 2021Complex Numbers and Quadratic Equations

Solution:

$|x|^{2}-|x|-12=0$
$(|x|+3)(|x|-4)=0$
$|x|=4 \Rightarrow x=\pm 2$