Question

x+1/x=1 then what is x^2+1/x^2=?

Answer 1

Given that

x + 1/x = 1

To find the value of,

$\sf{x {}^{2} + \frac{1}{x {}^{2} } }$

On squaring x + 1/x = 1 on both sides,

$\sf{x {}^{2} + \frac{1}{x {}^{2} } + 2 = 1 } \\ \\ \implies \: \sf{x {}^{2} + \frac{1}{x {}^{2} } = 1 }$

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

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