JEE Mains · Maths · STD 11 - 4.2 Quadratic equations and inequations
The number of distinct real roots of the equation \(|\mathrm{x}+1||\mathrm{x}+3|-4|\mathrm{x}+2|+5=0\), is ...........
- A \(5\)
- B \(2\)
- C \(10\)
- D \(20\)
Answer & Solution
Correct Answer
(B) \(2\)
Step-by-step Solution
Detailed explanation
\(|\mathrm{x}+1||\mathrm{x}+3|-4|\mathrm{x}+2|+5=0\) case \(-1\) \( x \leq-3 \) \( (x+1)(x+3)+4(x+2)+5=0 \) \( x^2+4 x+3+4 x+8+5=0 \) \( x^2+8 x+16=0 \) \( (x+4)^2=0 \) \( x=-4\) case \(-2\) \( -3 \leq x \leq-2 \) \( -x^2-4 x-3+4 x+8+5=0 \) \( -x^2+10=0 \) \( x= \pm \sqrt{10}\)…
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