1.

If x+1/x=11, find the value of x^2+1/x^2​

Answer»

Step-by-step explanation:

Given -

  • x + 1/x = 11

To FIND -

  • Value of x² + 1/x²

Now,

→ x + 1/x = 11

Squaring both sides :-

→ (x + 1/x)² = (11)²

→ x² + 1/x² + 2×x×1/x = 121

→ x² + 1/x² + 2 = 121

→ x² + 1/x² = 121 - 2

→ x² + 1/x² = 119

Hence,

The value of + 1/x² is 119



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