Question

if x+1/x=2, find x^6+1/x^6​

Answer 1

Step-by-step explanation:

X^2 –6x -1 =0 → use quadratic equation to solve. Maybe only one of the two answers fits the problem — that's your answer. (BTW, x can' t ...

Answer 2

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$x + \frac{1}{x} = 2 \\ \\ {(x + \frac{1}{x}) }^{6} = {x}^{6} + \frac{1}{{x}^{6}} + 2 \\ \\ {2}^{6} - 2 = {x}^{6} + \frac{1}{{x}^{6}} \\ \\ {x}^{6} + \frac{1}{ {x}^{6}} = 62$