SOLUTION: find the solution set of the given solution? 2x+10/x=6

Question 940188: find the solution set of the given solution?
2x+10/x=6
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
|Multiplying thru by x so as all denominators = 1
2x^2 + 10 = 6x
2x^2 - 6x + 10 = 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 -44 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 -44 is + or - .

The solution is

Here's your graph:

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