Question

if x+1/x=root3 then find x^6-1/x^6

Answer 1

2 ways to answer....

first

either ttake x in denominator to the RHS and then sole the quadratic equation

${x}^{2} - \sqrt{3} x + 1 = 0$

and then put x in equation to find answer.....x will be in terms of

$\alpha$

the cubic root of 1