SOLUTION: Can you help with this problem: Show that there is no quadratic equation ax^2 + bx + c = 0 such that a, b, and c are real numbers and 3i and -2i are solutions. Thanks for your

Question 361774: Can you help with this problem: Show that there is no quadratic equation ax^2 + bx + c = 0 such that a, b, and c are real numbers and 3i and -2i are solutions.
Thanks for your help.

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
If and are solutions, then and are factors of the quadratic equation.

Comparing

However a,b, and c are supposed to be real.
Therefore and cannot be solutions where a,b, and c are real numbers.
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