If x + 1/x = 5, then what is the value of x² + 1/x² = _____?
- 23
- 24
- 25
- None of these
Explanation
Given x + 1/x = 5
To find x² + 1/x²:
(x + 1/x)² = x² + 2(x)(1/x) + 1/x²
= x² + 2 + 1/x²
x² + 1/x² = (x + 1/x)² - 2
= 5² - 2
= 25 - 2
= 23
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- 25
- 30
- 35
- None of these
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- 10x = - 3
- 2x = - 27
- 2x = 27
- None of these
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- 2/x + 12/(x +5)
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