bisaacb1937 bisaacb1937
  • 17-11-2021
  • Mathematics
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if x +1/x = 3, then find the value of x to the power of 2 + 1/x to the power of 2

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maniknandini
maniknandini maniknandini
  • 17-11-2021

Answer:

7

Step-by-step explanation:

x +  1/x = 3

[tex]x^{2} + 1/x^{2}[/tex]

squaring on both sides

(x + 1/x)² = 3²

x² + 1/x² + 2*x* 1/x = 9

x² + 1/x² + 2 = 9

x² + 1/x² = 7

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