SOLUTION: x/(5x-25) - 2 = x/(1-5) simplify and solve for x

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Question 344719: x/(5x-25) - 2 = x/(1-5) simplify and solve for x
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Simplify:



4x- 40x + 200 = -5x^(2)+25x
5x^2 - 61x + 200 = 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 -279 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 -279 is + or - .

The solution is

Here's your graph:

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