Question

If x+1/x = 2. Find the value of (x-1/x)^14​

Answer 1

Answer:

$x + \frac{1}{x} = 2 \\ = \frac{ {x}^{2} + 1}{x} = 2 \\ = > {x}^{2} + 1 = 2x \\ = > {x}^{2} - 2 x + 1 = 0 \\ = >( { x + 1})^{2} = 0 \\ = > x + 1 = 0 \\ = > x = - 1 \\ now \\ \\ ({x - \frac{1}{x}) }^{14} \\ = \: \: { (- 1 - \frac{1}{ - 1} )}^{14} \\ = {( - 1 + 1)}^{14} \\ = {0}^{14} \\ = 0.$

the answer is 0.

Answer 2

Step-by-step explanation:

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