Exams › SSC CGL (Prelims) › General

If m + 1/m = 6, what is the value of m^2 + 1/m^2?

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

Correct answer: 34

Solution

Squaring m + 1/m = 6 gives m^2 + 2 + 1/m^2 = 36, since the cross term 2 x m x (1/m) = 2. Subtracting 2 yields m^2 + 1/m^2 = 34.

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