Question

if x+1/x=2 then find x^3+1/x^3​

Answer 1

Answer:

using formula[x+1/x]^3

Answer 2

Answer:

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

${x}^{3} + { \frac{1}{ {x}^{3} }=2 }$

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