Question

If x+1/x = 7 then find the value of _ ..
x^2+1/x^2

Answer 1

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Answer 2

$x + \frac{1}{x} = 7 \\ squaring \: on \: both \: sides \\ (x + \frac{1}{x} ) ^{2} = 7 ^{2} \\ {x}^{2} + {\frac{1}{x ^{2} } } + 2 = 49 \\ {x}^{2} + \frac{1}{x ^{2} } = 49 - 2 \\ {x}^{2} + \frac{1}{x ^{2} } =47$