If x + 1/x = 6, what is the value of x² + 1/x²?

Algebra · Quantitative Aptitude · Medium · Practice for SSC CGL Tier 1, SSC CGL Tier 2

If x + 1/x = 6, what is the value of x² + 1/x²?

36
12
38
34

Answer and solution

Correct answer: D) 34

(x + 1/x)² = x² + 1/x² + 2, so x² + 1/x² = 6² − 2 = 34.

Learn the method: Algebra rules and worked examples · SSC CGL Tier 1 Quantitative Aptitude

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