noorliya
noorliya noorliya
  • 08-10-2021
  • Mathematics
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Q16. Find x^2 + 1/x^2 , if x + 1/x = 3

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Hamed313
Hamed313 Hamed313
  • 08-10-2021

Answer:

[tex] 2 \times x \times \frac{1}{x} = 2 \\ {x}^{2} + {y }^{2} + 2xy = {(x + y)}^{2} \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2 = {(x + \frac{1}{x} })^{2} = {3}^{2} = 9[/tex]

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