SOLUTION: solve the equation in the complex number system 117x^2+1=18x
Quadratic Equations and Parabolas
-> SOLUTION: solve the equation in the complex number system 117x^2+1=18x
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solve the equation in the complex number system
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SOLVE quadratic equation (work shown, graph etc)
(in our case
) has the following solutons:
For these solutions to exist, the
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
, read on.
In the field of imaginary numbers, the square root of -144 is + or -
The solution is
Here's your graph:
= (27 ± 2i)/39