Question

If x +1/x
= 6, find the values of
(1) x-1/x​

Answer 1

$(x + \frac{1}{x})^{2} = ( {6)}^{2} \\ {x}^{2} + \frac{1}{ {x}^{2} } = 36 - 2 = 34 \: \: \: \: \: \: \: \: \: \: ...(1) \\ (x - \frac{1}{x}) {}^{2} = {x}^{2} + \frac{1}{ {x}^{2} } - 2 \: = 34 - 2 \: \: \: \: \: \: \: \: {from(1)} \\ (x - \frac{1}{x} ) {}^{2} = (x - \frac{1}{x} ) = \sqrt{32} = 4 \sqrt{2} \: ans$

Answer is 4√2

Answer 2

Answer:

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