Question

If x + 1/x = 11,find the value of:

x³+ 1/ x³​

Jaldi Batana Plz... Aur Bilkul Correct Batana

Answer 1

given equation is

$x + \frac{1}{x} = 11 \\ cubing \: on \: both \: side \\{ (x + \frac{1}{x} ) }^{3} = {11}^{3} \\ {x}^{3} + \frac{1}{ {x}^{3} } + 3(x \times \frac{1}{x} )(x + \frac{1}{x} ) = 1331 \\ = {x}^{3} + \frac{1}{ {x}^{3} } + 3(11) = 1331 \\ = {x}^{3} + \frac{1}{ {x}^{3} } = 1331 - 33 = 1298$