SOLUTION: say u+iv (where u and v are real numbers, and i is the imaginary unit) is a root of a quadratic polynomial; then, is u-iv also a root of that polynomial? Why, or why not?

Question 384096: say u+iv (where u and v are real numbers, and i is the imaginary unit) is a root of a quadratic polynomial; then, is u-iv also a root of that polynomial? Why, or why not?
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Yes. From the quadratic formula, we have

Suppose the discriminant was negative. Then, this value x becomes
where d is real. We can assign arbitrary values u and v to obtain
x = .

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