A very simple question. How do we prove it? a x 2 + b x...
A very simple question. How do we prove it?
Answer & Explanation
For quadratic equation
its roots are
Depending on the sign of , the roots could be distinct reals, a multiple real, or distinct complexes. We actually do not need the fundamental theorem of algebra here, which is usually used for equations of higher orders (e.g., order 5 or more).
Then we can evaluate it directly
I guess people are overthinking about this question.