Question

One solution of a quadratic equation is 3+5i
. What is the other solution?(1 point)
Responses

3−5i
3 minus 5 i

−3+5i
negative 3 plus 5 i

−3−5i
negative 3 minus 5 i
Question 2
b) Explain how you know.(2 points)

Answer 1

Answer: 3 − 5i

b) Explanation: For a polynomial with real coefficients, nonreal complex roots occur in conjugate pairs. So if 3 + 5i is a root, its conjugate 3 − 5i must also be a root. (You can check: (x − (3+5i))(x − (3−5i)) = x^2 − 6x + 34, which has real coefficients.)