Question

If x - 1/x = -1 then what is x^2+1/x^2​

Answer 1

Answer:

$ans \: \frac{1}{2}$

Explaination:

$\frac{x - 1}{x} = - 1 \\ x - 1 = - x \\ 2x = 1 \\ x = \frac{1}{2} \\ now \\ \frac{{x}^{3} }{ {x}^{2} } = \frac{1 \times 4}{8 \times 1 } = \frac{1}{2}$

Answer 2

$\huge\bf{Answer:-}$

According to the given question:-

$=>x + \frac{1}{x} = 1$

So,

$=>\begin{lgathered}\bf{x {}^{2} + \frac{1}{x {}^{2} } } \\\end{lgathered}$

Squaring both sides

$=>\begin{lgathered}\bf{(x {}^{2} + \frac{1}{x {}^{2} } + 2 = 1 )} \\ => \: \bf{(x {}^{2} + \frac{1}{x {}^{2} } = 1 )}\end{lgathered}$