Problem: To satisfy the equation , and must be:
Answer Choices:
A. both rational
B. both real but not rational
C. both not real
D. one real, one not real
E. one real, one not real or both not real
Solution:
\therefore a=\dfrac{-b \pm \sqrt{b^{2}-4 b^{2}}}{2}=\dfrac{-b \pm i b \sqrt{3}}
If is real, is not real. If is not real, a may be real or not real.