Exams › SSC CGL (Prelims) › General

Given that y + \frac{1}{y} = 5, find \(y^2 + \frac{1}{y^2}\).

1. 21
2. 23
3. 25
4. 27

Correct answer: 23

Solution

Using \(\left(y + \frac{1}{y}\right)^2 = y^2 + \frac{1}{y^2} + 2\), we get 25 = \(y^2 + \frac{1}{y^2} + 2\). Therefore, \(y^2 + \frac{1}{y^2} = 23\).

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