Question

If one root of a cubic equation is $1+i\sqrt{3}$, then what can be said about the other two roots?

• A. Both should be real
• B. Both should be imaginary
• C. On real and one Imaginary
• D. None of the above

Answer 1

The correct option is C On real and one Imaginary

Complex roots always occur in conjugates. If one root is $1+i\sqrt{3}$, then the other should be its conjugate $1-i\sqrt{3}$ and the remaining root should be real.