If x + 1/x = 5, what is the value of x² + 1/x²?
- 21
- 22
- 23
- None of these
Explanation
Formula: (x + 1/x)^2 = x^2 + 1/x^2 + 2
So
x^2 + 1/x^2 = (x + 1/x)^2 - 2
= 5^2 - 2
= 25 - 2
= 23
Last verified on 20-10-2026
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- 8
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- 11
Formula: (x + 1/x)^2 = x^2 + 1/x^2 + 2
So
x^2 + 1/x^2 = (x + 1/x)^2 - 2
= 5^2 - 2
= 25 - 2
= 23
Last verified on 20-10-2026
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