Question

if x-1/x=6, then find x square+1/xsquare​

Answer 1

Answer:

$x - \frac{1}{x} = 6 \\ \\ squaring \: both \: sides \\ \\ {x}^{2} + \frac{1}{x {}^{2} } + 2 = 6 \\ \\ x {}^{2} + \frac{1}{x {}^{2} } = 4$

Answer 2

Answer:

x - 1/x

squaring both sides

x² - 1/x² + 2 = 6

x² - 1/x² = 4

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