SOLUTION: 2/x-4/(x+1)=3

Question 214660: 2/x-4/(x+1)=3
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!

Step 1. Multiply by x(x+1) to both sides to get rid of denominators.

Step 2. Simplify above equation

Step 3. We can then use the quadratic formula to solve the above equation given as

where a=3, b=5, and c=-2

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 : .

Discriminant d=49 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.333333333333333, -2. Here's your graph:

Step 4. ANSWER: The solutions are and

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J

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