Question

x - 1/x = (80 - 36√2)/17 find the value of (x - 1/x)³​

Answer 1

Step-by-step explanation:

Explanation:

Given:

x+1x=√3

Note that:

x+1x=2cos(π6)

x+1x=(cos(π6)+isin(π6))+(cos(−π6)+isin(−π6))

So by de Moivre's formula:

x17+1x17=2cos(17π6)=2cos(5π6)=