Solve for t:
t^6=8-t^3
t^6 + t^3 - 8 = 0
now just use the quadratic formula for t^3:
t^3 = (-1±√33)/2
Now you can use de Moivre's formula to get the various cube roots of those two values.
t^6=8-t^3
now just use the quadratic formula for t^3:
t^3 = (-1±√33)/2
Now you can use de Moivre's formula to get the various cube roots of those two values.