JEE Mains · Maths · STD 11 - 4.2 Quadratic equations and inequations
The sum of the squares of the roots of \(|\mathrm{x}+2|^2+|\mathrm{x}-2|-2=0\) and the squares of the roots of \(x^2-2|x-3|-5=0\), is
- A 26
- B 36
- C 30
- D 24
Answer & Solution
Correct Answer
(B) 36
Step-by-step Solution
Detailed explanation
\begin{aligned} & |\mathrm{x}-2|^2+2|\mathrm{x}-2|-|\mathrm{x}-2|-2=0 \\ & \Rightarrow(|\mathrm{x}-2|+2)(|\mathrm{x}-2|-1)=0 \\ & \Rightarrow|\mathrm{x}-2|=1 \\ & \Rightarrow \mathrm{x}=2 \pm 1=3,1 \\ & \Rightarrow \text { sum of square of roots }=9+1=10 \\ &…
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