SOLUTION: 5-2i√(5) and x^2-10x+45=0

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Question 1042049: 5-2i√(5)
and
x^2-10x+45=0
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
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x^2-10x+45=0
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If you want to solve for x:
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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 -80 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 -80 is + or - .

The solution is , or
Here's your graph:

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