SOLUTION: Find all solutions of the equation x+1+(5/x)=0 and express them in the form a+bi:

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Question 721687: Find all solutions of the equation x+1+(5/x)=0 and express them in the form a+bi:
Answer by tommyt3rd(5050)   (Show Source): You can put this solution on YOUR website!
leads to
(x^2+x+5)/x=0
then a=1, b=1, c=5


Solved by pluggable solver: SOLVE quadratic equation with variable
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 -19 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 -19 is + or - .

The solution is

Here's your graph:

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