If x-1-x -5- then x2-1-x2 - a 25 b 27 c 23 d 251-25

The correct option is x+1/x=5 Squaring both sides, ( x+1/x )^2=(5)^2⇒ x^2+1/x^2+2=25 x^2+1/x^2=25 2=23 ...

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Algebraic Identities

If x+1/x =5, ...

Question

If $(x + \frac{1}{x}) = 5$ , then $(x^{2} + \frac{1}{x^{2}}) = ?$
(a) $25$
(b) $27$
(c) $23$
(d) $25 \frac{1}{25}$

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∣ ∣ ∣ \begin{matrix} x^{2} + x & x 3 & 2 \end{matrix} ∣ ∣ ∣ + ∣ ∣ ∣ \begin{matrix} 0 & - 1 - x + 1 & x \end{matrix} ∣ ∣ ∣ = ∣ ∣ ∣ \begin{matrix} 0 & - 2 5 & 1 \end{matrix} ∣ ∣ ∣

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