Question

What can you say about the nature of any other zeros of the quadratic equation , which has one complex zero? Explain your answer.

Answer 1

Answer:
There is another complex zero which is a conjugate of the known complex zero.

Explanation:
A quadratic equation s a 2nd order polynomial.

Therefore it can have 2 real zeros or 2 complex zeros.
Because complex zeros always occur as conjugate pairs, there will be another complex zero which is a conjugate of the known complex zero.

For example, if the known complex zero is of the form (a + ib), then the other complex zero is (a - ib), or vice versa.