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Find the value of
![(x \times \frac{1}{x} ) \: if \: {x}^{2} + \frac{1}{{x}^{2} } = 23 (x \times \frac{1}{x} ) \: if \: {x}^{2} + \frac{1}{{x}^{2} } = 23](https://tex.z-dn.net/?f=%28x+%5Ctimes+%5Cfrac%7B1%7D%7Bx%7D+%29+%5C%3A+if+%5C%3A+%7Bx%7D%5E%7B2%7D+%2B+%5Cfrac%7B1%7D%7B%7Bx%7D%5E%7B2%7D+%7D+%3D+23)
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Answered by
3
Answer:
5
Step-by-step explanation:
x²+1/x² = 23
Adding 2 on both sides
x²+1/x²+2 = 23+2
(x+1/x)² = 25
(x+1/x)² = 5²
Taking square root both sides
x+1/x = 5
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