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sergij07 [2.7K]
2 years ago
14

If X=3+√8, find X square + 1/x square​

Mathematics
1 answer:
irina1246 [14]2 years ago
5 0

Given :-

  • x = 3 + √8

To find :-

  • x² + 1/x²

Solution :-

<u>According</u><u> to</u><u> Question</u><u>,</u>

  • x = 3 + √8
  • 1/x = 1/3-√8
  • 1/x = 1(3+√8)/(3+√8)(3-√8)
  • 1/x = 3+√8/3²-(√8)²
  • 1/x = 3+√8/9-8
  • 1/x = 3 + √8

<u>So </u><u> </u><u>that</u><u> </u><u>,</u>

  • x² + 1/x²
  • (x + 1/x)² - 2
  • ( 3+√8+3-√8)²-2
  • 9² - 2
  • 81 - 2
  • 79

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