If x^2 – 3x + 1 = 0, find the value of x^2 + 1/x^2.

A5

B7

C9

D11

Explanation

Divide equation by x: x – 3 + 1/x = 0 => x + 1/x = 3. Squaring both sides: (x + 1/x)^2 = 3^2 => x^2 + 1/x^2 + 2 = 9 => x^2 + 1/x^2 = 7.

Exam Relevance

Topic: Algebra
Subtopic: Algebraic Identities

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