Question

x-1/x=3 find the value of x^2+1/×^2​

Answer 1

$x - \frac{1}{x} = 3$

We know (a-b)²=a²+b²-2ab

Here A=x

B=1/x

A/Q

$(x - \frac{1}{x} ) {}^{2} = {x}^{2} + (\frac{1}{x}) {}^{2} - 2 \times\cancel x \times \frac{1}{\cancel x} \\ \\ {3}^{2} = {x}^{2} + ( \frac{1}{x} ) {}^{2} - 2 \\ \\ 9 + 2 = {x}^{2} + ( \frac{1}{x} ) {}^{2} \\ \\ {x}^{2} + ( \frac{1}{x} ) {}^{2} = 11$