If x-1-x -6- then x2-1-x2 - a 36 b 38 c 32 d 361-36

( x 1/x )=6 Squaring both sides, ( x 1/x )^2=(6)^2x^2+1/x^2 2=36 ⇒ x^2+1/x^2=36+2=38 ...

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Algebraic Identities

If x-1/x =6, ...

Question

If $(x - \frac{1}{x}) = 6$ , then $(x^{2} + \frac{1}{x^{2}}) = ?$

(a) $36$
(b) $38$
(c) $32$
(d) $36 \frac{1}{36}$

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(x - \frac{1}{x}) = 6

(x^{2} + \frac{1}{x^{2}}) = ?

36 \frac{1}{36}

f : R \to R

f (x + y) = f (x) + f (y) + x^{2} y + x y^{2}

\forall x, y \in R

lim x \to 0 \frac{f (x)}{x} = 1

f (x)

x - \frac{1}{x} = \sqrt{6}

x^{2} + \frac{1}{x^{2}} =

- \frac{3}{2}

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