SOLUTION: I need to find all the zeros of the function f(x)=x^2+2ix-3. I'm trying to use the quadratic equation, but I think I'm doing it wrong. Can someone show me step-by-step how to fin

Question 245747: I need to find all the zeros of the function f(x)=x^2+2ix-3.
I'm trying to use the quadratic equation, but I think I'm doing it wrong.
Can someone show me step-by-step how to find the zeros of this function?
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

You have it right. The quadratic formula is the way to go. With "a" = 1, "b" = 2i and "c" = -3 we get:

Now we simplify:

Since :

Now we reduce the fraction by canceling common factors. So we factor a 2 out of the numerator:

The 2's cancel:

or
or
And finally, since we usually write complex numbers with the real part first:
or

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