SOLUTION: simplify/Reduce 16 4 _______ - ___ x^2+2x-3 x+3

Algebra.Com
Question 31602: simplify/Reduce
16 4
_______ - ___
x^2+2x-3 x+3
Answer by mbarugel(146)   (Show Source): You can put this solution on YOUR website!
Hello!
We can start by finding the roots of the quadratic equation in the denominator of the 1st term:
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=16 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 1, -3. Here's your graph:


The roots are 1 and -3. This implies that that quadratic equation can be written as:

So your expression becomes:

But since 4 is a factor of 16 and (x+3) is a factor of (x-1)(x+3), then we can take as a common factor, getting:

Furthermore, we can add the fractions inside the parenthesis, getting:


And that's as far as we can go.

I hope this helps!
Get more answers at Online Math Answers.com!
RELATED QUESTIONS

I think I may have asked wrong simplify/Reduce 16/x^2+2x-3 minus... (answered by Cintchr)
(x^2+2x)/4x-3/(6x^3)/(8x^2-2x-3) simplify and reduce....please... (answered by stanbon)
simplify and reduce: x^2+2x/(4x-3)/6x^3/8x^2-2x-3 Can someone please help!!!! (answered by ankor@dixie-net.com)
Please help me simplify and reduce: x^2+2x/(4x-3)/6x^3/(8x^2-2x-3)... (answered by funmath)
Simplify: (16-x^2)/(x^3 - 2x^2 - 8x) (answered by bucky,chitra)
Simplify.... (answered by rahman)
Simplify: (2x^3+4)/(x^2-4x+12) +... (answered by TakeATuition.com)
Simplify: (2x^3+4)/(x^2-4x+12) +... (answered by TakeATuition.com)
Simplify: (2x^3+4)/(x^2-4x+12) +... (answered by TakeATuition.com)