Question

If x+1/x =5,then find the value of (x³+1/x³)

Answer 1

`$\fbox{hello answer}$`

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$x + \frac{1}{x} = 5 \\ {x}^{3} + \frac{1}{x3} = \\ \\ cubing \: on \: both \: sides \\ (x + \frac{1}{x3}) = {5}^{3} + x + \frac{1}{x3} + 3 \\ \times x \times \frac{1}{x} \times (x + \frac{1}{x}) \\ 125 {x}^{3} + \frac{1}{x3} + 3(5) \: \\ = 125 \: {x}^{3} + \frac{1}{x3} + 15 \\ = {x}^{3} + \frac{1}{3} = 125 - 15 \\ so \\ {x}^{3} + \frac{1}{x3} = 110$