SOLUTION: How do you solve {{{ 6 -(5/(x+1)) = (6/(x-3))}}} I have tried this problem, but I go nowhere. {{{(6x+6-5)/(x+1) = (-6/(x-3))}}} {{{6(x+1)/(x+1)

SOLUTION: How do you solve {{{ 6 -(5/(x+1)) = (6/(x-3))}}} I have tried this problem, but I go nowhere. {{{(6x+6-5)/(x+1) = (-6/(x-3))}}} {{{6(x+1)/(x+1) - 5/(x+1)}}}

Question 985255: How do you solve
I have tried this problem, but I go nowhere.

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
How do you solve
I have tried this problem, but I go nowhere.
*** This is OK, except you changed the RHS to negative.
==================================================

Cross multiply
6(x+1) = (6x+1)*(x-3)

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

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=745 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 4.19122401065936, -0.35789067732603. Here's your graph:

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