SOLUTION: (x+1)/(x+3) = (x^2-11x)/(x^2+x-6) + (x-3)/(x-2)

Question 264983: (x+1)/(x+3) = (x^2-11x)/(x^2+x-6) + (x-3)/(x-2)
Answer by JBarnum(2146) (Show Source): You can put this solution on YOUR website!

must make the common denominator the same to add/subtract together
just take your time and focus on just the denominators
(x^2+x-6) , (x-2) , (x+3)
.
its common for books to provide the simpilar common denominator in the question.
if you can factor it equals
if you arent great at factoring then first just try to see if it = since it is, you will multiply by the common denominator of
.
Now heres what it should look like:
+
Now your ready to do cross cancelations and remember

Use FOIL method (First Outer Inner Last)

Use the Quadratic formula: Ax^2+Bx+C=0 where A=1 B=-10 C=-7
the answer is: 10.6568542494924, -0.656854249492381

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=128 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 10.6568542494924, -0.656854249492381. Here's your graph:

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