SOLUTION: find two imaginary numbers in the form a + bi whose product = 17. Neither a nor b may equal zero. Has me stumped. Any help is appreciated.

Question 136433: find two imaginary numbers in the form a + bi whose product = 17. Neither a nor b may equal zero.
Has me stumped. Any help is appreciated.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
In order to get rid of any in the result, the factors
would have to be of the form and , then

, and it's given that

I know that and are both squares and add up to , so

So, the numbers are
and

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