SOLUTION: I need to find the zeros of f(x)=x^2+2ix-3. I tried using the quadratic equation, but the i is confusing me. Help?

Question 245751: I need to find the zeros of f(x)=x^2+2ix-3.
I tried using the quadratic equation, but the i is confusing me.
Help?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Just treat this quadratic as you normally would, but make sure to follow the rules of complex arithmetic.

Start with the given equation.

Notice that the quadratic is in the form of where , , and

Let's use the quadratic formula to solve for "x":

Start with the quadratic formula

Plug in , , and

Square to get

Note: Since ,

Multiply -4, 1 and -3 to get

Multiply 2 and 1 to get 2.

Combine like terms.

Simplify the square root.

Reduce.

or Break up the 'plus/minus'

So the solutions are or
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