Question

x-1/x=5,find x²+1/x²​

Answer 1

Answer:

27 is it's answer

I hope it help u..........

Answer 2

$\mathsf{Given} : \\ x - \frac{1}{x} = 5 \\ \\ \mathsf{To \: find} : \\ x {}^{2} + \frac{1}{x {}^{2} } \\ \\ \mathsf{Using }: (x - \frac{1}{x} ) {}^{2} = x {}^{2} + \frac{1}{x {}^{2} } + 2x \frac{1}{x} = x {}^{2} + \frac{1}{x {}^{2} } - 2 \\ \\ \\ Putting \: the \: values \: \\ \\ (5) {}^{2} = x {}^{2} + \frac{1}{x {}^{2} } - 2 \\ \\ \implies \: \: 25 = x {}^{2} + \frac{1}{x {}^{2} } - 2 \\ \\ \implies \: \: x { }^{2} + \frac{1}{x {}^{2} } = 27$