How many complex roots does the equation below have? X^6+x^3+1=0

If you find the discriminant it will tell you the number and types of roots. The discriminant is the value b^2 - 4ac.

a = 1

b = 1

c = 1

1^2 - 4*1*1

1-4 = - 3

Since this is a negative number there will be 2 complex roots.