Exams › SSC CGL (Prelims) › General

If \(m + \frac{1}{m} = 6\), find the value of \(m^2 + \frac{1}{m^2}\).

1. 36
2. 35
3. 34
4. 33

Correct answer: 34

Solution

Given \(m + \frac{1}{m} = 6\). Squaring both sides gives \(m^2 + \frac{1}{m^2} + 2 = 36\), because \(m \cdot \frac{1}{m} = 1\). Hence \(m^2 + \frac{1}{m^2} = 34\).

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