If x2-5x-1-0- then the value of x2-1x2is

Given x^2 5x 1=0 ⇒x^2 1x=5xx ⇒(x 1x)^2=(5)^2 ⇒ x^2+1x^2 2× x×1x=25 ∴ x^2+1x^2=27 Hence, the correct answer is option (b) ...

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Algebraic Identities

If x2-5x-1=0,...

Question

If $x^{2} - 5 x - 1 = 0,$ then the value of $x^{2} + \frac{1}{x^{2}}$ is

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