The number of real solutions of the equation \(x^2 - 10|x| - 56 = 0\) is
Question and options
The number of real solutions of the equation is
- 1
- 4
- 3
- 2
Answer and explanation
Correct answer: D - 2
As a quadratic in |x|: (|x|-14)(|x|+4)=0, so |x|=14 (|x|=-4 rejected), giving x=+-14: 2 solutions.
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IPMAT Indore
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