Math, asked by vishwa2005, 1 year ago

if x=3+root 8,find the value of xsquare +1by xsquare

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Answered by djdilip711
17
x = 3+√8       
1/x = 1 / 3+√8             [ you should rationalise it ]
     = 1 / 3+√8 x 3-√8 / 3-√8
     = 3-√8 / (3)² - (√8)²
     = 3-√8 / 9 - 8
1/x = 3-√8

x + 1/x = 3+√8 + 3-√8
x + 1/x = 6
 
square on the sides

 (x + 1/x)² = (6)²
  x² + 1/x²+ 2 = 36
  x² + 1/x² = 36-2 = 34
  x² + 1/x² = 34

 plzz mark as brainliest answer

 

djdilip711: plzz mark as brainliest answer
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Answered by HimanshiBansal
11

Answer:

34

Step-by-step explanation:

explanation is in the given pic

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