JEE Mains · Maths · STD 11 - 4.2 Quadratic equations and inequations
The number of real roots of the equation \(x | x |-5| x +2|+6=0\), is
- A \(5\)
- B \(3\)
- C \(6\)
- D \(4\)
Answer & Solution
Correct Answer
(B) \(3\)
Step-by-step Solution
Detailed explanation
\(x|x|-5|x+2|+6=0\) \(C-1:-x \in[0, \infty]\) \(x^2-5 x-4=0\) \(x=\frac{5 \pm \sqrt{25+16}}{2}=\frac{5+\sqrt{41}}{2}\) \(x=\frac{5 \pm \sqrt{41}}{2}\) \(C-2:-:-x \in[-2,0)\) \(-x^2-5 x-4=0\) \(x^2+5 x+4=0\) \(x=-1,-4\) \(x=-1\) \(C-3: x \in[-\infty,-2)\) \(-x^2+5 x+16=0\)…
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