SOLUTION: Hi! I'm having some difficulty with the following problem using the quadratic formula and finding the answers to "x." Find all solutions of the equation and express them in the f

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Question 196533: Hi!
I'm having some difficulty with the following problem using the quadratic formula and finding the answers to "x."
Find all solutions of the equation and express them in the form a + bi.
x^2+2x+2=0
thanks!

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
x^2+2x+2=0
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The onsite solver does a good job.
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

The discriminant -4 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.


In the field of imaginary numbers, the square root of -4 is + or - .

The solution is , or
Here's your graph:


----------------
Except for reducing.
It's -1 ± i

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