Question

if x-1/x = 4√2 find x²+1/x²​

Answer 1

${(x - \frac{1}{x} ) }^{2} = {(4 \sqrt{2} )} ^{2}$

${x}^{2} + \frac{1}{ {x}^{2} } - 2( \cancel x)( \frac{1}{ \cancel x} ) = 16 \times 2$

${x}^{2} + \frac{1}{ {x}^{2} } = 32 + 2$

${x}^{2} + \frac{1}{ {x}^{2} } = 32$

Answer 2

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