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SSC CHSL Algebra question with solution

AlgebraModerateSSC CHSL 2024

If x + 1/x = 3, what is the value of x² + 1/x²?

  1. (A)7
  2. (B)9
  3. (C)6
  4. (D)11

Correct answer: (A) 7

Squaring both sides: (x + 1/x)² = x² + 1/x² + 2 = 9. Therefore x² + 1/x² = 9 − 2 = 7.

Shortcut: x² + 1/x² = k² − 2 when x + 1/x = k.

About this question

Subject
Quantitative Aptitude
Topic
Algebra
Exam
SSC CHSL 2024
Attempts on SSC Rank
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Appears in: SSC CHSL 2024 Tier 1 Question Paper — 1 July, Shift 1

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Last reviewed on 5 Oct 2026. Spotted a mistake? See our correction policy.