SOLUTION: solve the equation in the complex number system 117x^2+1=18x

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Question 305172: solve the equation in the complex number system
117x^2+1=18x

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!

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 -144 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 -144 is + or - .

The solution is , or
Here's your graph:

----------------
= (27 ± 2i)/39

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