Question

if
x-1/x = under root 3
then xcube - 1/xcube =

Answer 1

x +1/x = √3

x2+1 = √3x

x2 -√3x+1 = 0

Roots = √3±√(3-4)/2

= (√3±√1)/2

= (√3±i)/2

(√3+i)/2 = cos π/6 + i sin π/6

Answer 2

x +1/x = √3

x2+1 = √3x

x2 -√3x+1=0

Roots = √3+√(3-4)/2

= (√3+√1)/2

=(√3±i)/2

(√3+i)/2 = COS TT/6 + i sin π/6