Question

If x +1/x =2 find x by the power 3 + 1/x by the power 3

Answer 1

Answer:

2

Step-by-step explanation:

$x + \frac{1}{x} = 2\\\\(x + \frac{1}{x})^{3} = 2^{3}\\ \\x^{3} + (\frac{1}{x})^{3} + 3(x)(\frac{1}{x})(x + \frac{1}{x}) = 8\\\\x^{3} + \frac{1}{x^{3}}+ 3(2) = 8\\\\x^{3} + \frac{1}{x^{3}} = 8 - 6\\\\x^{3} + \frac{1}{x^{3}} = 2$

Hope it helps!!