SOLUTION: 4/x+8 - 1/x-8=5x/x^2-64 I am needing help how to determine the values of the variable that makes a denominator zero, Thanks so much!!

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: 4/x+8 - 1/x-8=5x/x^2-64 I am needing help how to determine the values of the variable that makes a denominator zero, Thanks so much!!      Log On


   

Question 1131446: 4/x+8 - 1/x-8=5x/x^2-64 I am needing help how to determine the values of the variable that makes a denominator zero,
Thanks so much!!
Found 3 solutions by MathLover1, Boreal, MathTherapy:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

4%2F%28x%2B8%29+-+1%2F%28x-8%29=5x%2F%28x%5E2-64%29

%284%28x-8%29+-+1%28x%2B8%29%29%2F%28%28x%2B8%29%28x-8%29%29=5x%2F%28x%5E2-64%29
%284x-32+-+x-8%29%2F%28%28x%2B8%29%28x-8%29%29=5x%2F%28%28x%2B8%29%28x-8%29%29
%283x-40%29%2F%28%28x%2B8%29%28x-8%29%29=5x%2F%28%28x%2B8%29%28x-8%29%29
now we have same denominators and to determine the values of the variable that makes a denominator zero, set denominator to zero and solve for x
%28x%2B8%29%28x-8%29=0
solutions:
%28x%2B8%29=0->x=-8
%28x-8%29=0->x=8
these are the values of the variable that makes a denominator zero




Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
If it is 4/(x+8), when x=-8 the denominator is 0. Set the denominators to 0 and factor. The solutions will be the numbers not allowed in the domain.
(x-8) in a denominator means x=8 is not allowed.
x^2-64 factors into (x+8)(x-8), and +/-8 are not allowed.

Answer by MathTherapy(10549) About Me  (Show Source):
You can put this solution on YOUR website!
4/x+8 - 1/x-8=5x/x^2-64 I am needing help how to determine the values of the variable that makes a denominator zero,
Thanks so much!!
matrix%281%2C3%2C+4%2F%28x+%2B+8%29+-+1%2F%28x+-+8%29%2C+%22=%22%2C+5x%2F%28x%5E2+-+64%29%29

 ------- Factoring denominator on right-side

As seen, the LCD is (x - 8)(x + 8), so you set each FACTOR equal to 0, and solve for x.

This should give you values: highlight_green%28matrix%281%2C3%2C+x%2C+%22=%22%2C+%22+%22%2B-+8%29%29 that will make the denominators 0, or each expression UNDEFINED.