EXAMPLES OF THE COMPLEX ROOTS

Question

What are the of the worked out complex roots?

 

Answer 1

You have failed to state a particular equation.  Try this one: x²+x+1=0. It cannot be factored. The DISCRIMINANT is 1-4(1)(1) = -3, so there are no real roots.

 

Using the quadratic formula, the roots are (-1±√(-3))/2 which is (-1±i√3)/2.  Notice: when the discriminant is negative, you get two complex conjugate roots.