Question

If x=1/5-x and x is not equal to 5, find : X2 - 1/x2​

Answer 1

Answer:

$x \: = \frac{1}{5 - x}$

=> 5 - x = 1/x

=> 1/x² = 25 + x² - 10x

Also,

=> x² = 1/(25 + x² - 10x)

Thus,

${x}^{2} - \frac{1}{ {x}^{2} } = \frac{1}{25 + {x}^{2} - 10x} - (25 + {x}^{2} - 10x)$

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