Back to JEE Main 2021 Algebra

JEE Main 2021Mathematics Algebra

medium
mcq
2021
Official previous-year question

Verified 30 May 2026.

Question

The number of solutions of the equation x² - 5|x| + 6 = 0 is:

Options

  1. A2
  2. B3
  3. C4
  4. D0

Solution

Let |x| = t ≥ 0. Then t² - 5t + 6 = 0 gives t = 2, 3. So x = ±2, ±3 = 4 solutions.

Did you get this right?

Sign in to track your attempts and accuracy.

Your note

Sign in to keep a private note on this question. Nothing you write is ever public.

JEE Main Algebra in other years

More JEE Main Algebra Questions

Other Mathematics Topics for JEE Main