JEE MAIN - Mathematics (2021 - 25th July Evening Shift - No. 12)
The number of real solutions of the equation, x2 $$-$$ |x| $$-$$ 12 = 0 is :
2
3
1
4
Explanation
|x|2 $$-$$ |x| $$-$$ 12 = 0
$$ \Rightarrow $$ (|x| + 3)(|x| $$-$$ 4) = 0
$$ \Rightarrow $$ |x| = 4
$$\Rightarrow$$ x = $$\pm$$4
$$ \Rightarrow $$ (|x| + 3)(|x| $$-$$ 4) = 0
$$ \Rightarrow $$ |x| = 4
$$\Rightarrow$$ x = $$\pm$$4
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