JEE Mains · Maths · STD 11 - 4.2 Quadratic equations and inequations
The number of distinct real roots of the equation \(|\mathrm{x}||\mathrm{x}+2|-5|\mathrm{x}+1|-1=0\) is ....................
- A \(3\)
- B \(9\)
- C \(4\)
- D \(6\)
Answer & Solution
Correct Answer
(A) \(3\)
Step-by-step Solution
Detailed explanation
Case \(-1\) \( x \geq 0 \) \( x^2+2 x-5 x-5-1=0 \) \( x^2-3 x-6=0 \) \( x=\frac{3 \pm \sqrt{9+24}}{2}=\frac{3 \pm \sqrt{33}}{2}\) One positive root Case \(-2\) \( -1 \leq x<0 \) \( -x^2-2 x-5 x-5-1=0 \) \( x^2+7 x+6=0 \) \( (x+6)(x+1)=0 \) \( x=-1\) one root in range Case \(-3\)…
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