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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, x2−|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⇒x=±2