Math, asked by samkdty, 9 months ago

pls solve these two questions.......

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Answered by mandliksharvari
1

Answer:

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Step-by-step explanation:

i)  (x + 1/x)² = x² + 1/x² + 2

 ∴(x + 1/x)² = 18 + 2

 ∴x + 1/x = √20

ii) (x - 1/x)² = x² + 1/x² - 2

 ∴ (x - 1/x)² = 18 - 2

  ∴    x - 1/x = √16 = 4

i)   (x-1/x)² = (3)²

   ∴x² + 1/x² - 2 = 9

    ∴ x² + 1/x² = 11

ii) (x² + 1/x²)² = (11)²              

   ∴ x⁴ + 1/x⁴ +2 = 121

      x⁴ + 1/x⁴ = 123

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