If (x2 + 1/x2) = 102, then (x - 1/x) is : - Basic Operations & Factorization - Algebra - Mathematics | EduGoog.com

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If (x² + ¹/_x²) = 102, then (x - ¹/x)_{is :}

A. 8

B. 10

C. 12

D. 13

E. None of the above

Answer: B. 10

(x² + ¹/_x²) = 102

→ (x² + ¹/_x² - 2) = 100

→ (x - ¹/_x)² = 10²

→ (x - ¹/_x) = 10.

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