Math, asked by Bhavyabedi, 11 months ago

If x plus 1 by x is equal to 4, find the value of x cube plus 1 by x cube. ​

Answers

Answered by madhuranjan10121988
3

Answer:

x +  \frac{1}{x}  = 4 \\( cubing \: both \: sides) \\   {(x +  \frac{1}{x} )}^{3}  = 64 \\  {x}^{3}  +  \frac{1}{ {x}^{3} }   + 3 \times x \times  \frac{1}{x} (x +  \frac{1}{x} ) = 64 \\  {x}^{3}  +  \frac{1}{ {x}^{3} }  + 3 \times 4 = 64 \\  {x}^{3}  +  \frac{1}{ {x}^{3} }  = 52

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