Question

If x+1/x = 2, then the value of x2+1/x2 is

Answer 1

ur answer is ready

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Answer 2

$Given \: \: Question \: \: Is \: \: \\ \\ x + \frac{1}{x } = 2 \: \: \: \: find \: \: x {}^{2} + \frac{1}{x {}^{2} } \\ \\ Answer \: \\ \\ x + \frac{1}{x} = 2 \\ \\ Squaring \: \: on \: both \: sides \: we \: have \\ \\ (x + \frac{1}{x} ) {}^{2} = 2 {}^{2} \\ \\ x {}^{2} + \frac{1}{x {}^{2} } + 2 \frac{x}{x} = 4 \\ \\ x {}^{2} + \frac{1}{x {}^{2} } + 2 = 4 \\ \\ x {}^{2} + \frac{1}{x {}^{2} } = 4 - 2 \\ \\ x {}^{2} + \frac{1}{x {}^{2} } = 2 \\ \\ therefore \: \: x + \frac{1}{x} = 2$