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Jee Main 2025 — Medium JEE math MCQ

The sum of the squares of all the roots of the equation \(x^2 + |2x - 3| - 4 = 0\), is \[
  1. A. \ 3(3 - \sqrt{2}) \quad
  2. B. \ 6(3 - \sqrt{2}) \quad
  3. C. \ 6(2 - \sqrt{2}) \quad
  4. D. \ 3(2 - \sqrt{2}) \]

Solution

The correct option is **C**. (C. \ 6(2 - \sqrt{2}) \quad)

MATH

medium • PYQ Reworded
Question
Read carefully, then pick the best option.
The sum of the squares of all the roots of the equation x2+∣2x−3∣−4=0x^2 + |2x - 3| - 4 = 0, is \[
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Jee Main 2025 — Medium JEE Mathematics MCQ | MyGoalPrep