Question

If x = 3 + √8 ,find the value of following

x^2+1/x^2​

Answer 1

x = 3+✓8. |

|

x² = (3+✓8)² = 9+8+6✓8 |

= (17 + 6✓8) | (6✓8 =16.97

= 17+17 | ≈ 17 )

= 34. |

|

1/x² = 1/ (17+6✓8) |

= 1/ (17+17)

= 1/34

So, According to question: x² + 1/x²

= 34+1/34

= 1157/34

= 34.02

≈ 34

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