Question

if (x+ 1/ x) = 2,(x ² + 1/x²) = ?​

Answer 1

Answer:

Squaring on both sides we get,

x^2+1/x^2+2x(1/x)=4

x^2+1/x^2=4-2

Step-by-step explanation:

x^2+1/x^2=2

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Answer 2

$\huge{\boxed{\mathcal\pink{\fcolorbox{red}{white}{..ANSWER..}}}}$

$given \\ x + \frac{1}{x} = 2 \\ (doin \: both \: side \: square) \\ so \\ {(x + \frac{1}{x}) } ^{2} = {2}^{2} \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2 \times x \times \frac{1}{x} = 4 \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } = 4 - 2 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2ans$

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