JEE Mains · Maths · STD 11 - 4.2 Quadratic equations and inequations
The number of real solutions of the equation, \(x^{2}-|x|-12=0\) is:
- A \(3\)
- B \(1\)
- C \(2\)
- D \(4\)
Answer & Solution
Correct Answer
(C) \(2\)
Step-by-step Solution
Detailed explanation
\(|x|^{2}-|x|-12=0\) \((|x|+3)(|x|-4)=0\) \(|x|=4 \Rightarrow x=\pm 2 \quad(\because|x| \neq-3)\)
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