If y + 1/y = 5, find the value of y2 + 1/y2 + 5.
28
Squaring both sides of \(y + \frac{1}{y} = 5\) gives \(y^2 + \frac{1}{y^2} + 2 = 25\).
So \(y^2 + \frac{1}{y^2} = 23\).
Adding 5: \(y^2 + \frac{1}{y^2} + 5 = 23 + 5 = 28\).
The value of y2 + 1/y2 + 5 is 28.
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