SOLUTION: No idea why I am having so much trouble with this! I must solve for x and type the answer in the form of "a+bi", using radicals as needed. x^2 - x +8 = 0 Any help is great

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Question 626560: No idea why I am having so much trouble with this!
I must solve for x and type the answer in the form of "a+bi", using radicals as needed.
x^2 - x +8 = 0
Any help is greatly appreciated! Thank you!
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
x^2 - x +8 = 0
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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 -31 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 -31 is + or - .

The solution is , or
Here's your graph:
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