SOLUTION: Find the imaginary solutions of the equation. {{{5x^2+3x+6=0}}}

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Question 48446: Find the imaginary solutions of the equation.

Answer by Nate(3500)   (Show Source): You can put this solution on YOUR website!
5x^2 + 3x + 6 = 0
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 -111 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 -111 is + or - .

The solution is

Here's your graph:

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