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?
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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