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JEE Main 2003
Exam
JEE Main
Year
2003
Subject
Mathematics
Chapter
Quadratic Equation

JEE Main 2003 · Mathematics · Quadratic Equation

The number of real solutions of the equation x^2-3|x|+2=0 is

The number of real solutions of the equation x2−3∣x∣+2=0x^2-3|x|+2=0 is

Options

  1. A3
  2. B2
  3. C4
  4. D1

Correct answer

C. 4

Step-by-step solution

x2−3∣x∣+2=0x^2-3|x|+2=0 \quad or (∣x∣−2)(∣x∣−1)=0(|x|-2)(|x|-1)=0 ∣x∣=1,2|x|=1,2 or x=±1,±2x=\pm 1, \pm 2 or ∴\therefore No. of solution =4=4
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