If x + 1/x = 4, what is the value of x^2 + 1/x^2?

Topic: Algebra
Subtopic: Algebraic Identities

A12

B14

C16

D18

Explanation

Squaring both sides of (x + 1/x) = 4 yields (x + 1/x)^2 = 4^2 => x^2 + 2 + 1/x^2 = 16. Subtracting 2 gives x^2 + 1/x^2 = 14.

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