If x-1-x-11- find the value of x2-1-x2-

X+1/x=11 Squaring both sides, (x+1/x )=(11)^2 ⇒ x^2+1/x^2+2=121 ⇒ x^2+1/x^2=121 2=119 ∴ x^2+1/x^2=119 ...

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Algebraic Identities

If x+1/x=11, ...

Question

If $x + \frac{1}{x} = 11,$ find the value of $x^{2} + \frac{1}{x^{2}}$ .

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If $x - \frac{1}{x} = - 1,$ find the value of $x^{2} + \frac{1}{x^{2}}$ .

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