SOLUTION: Please help me solve: (x-6)/(x-4)+16/(x^2-16)=0

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Please help me solve: (x-6)/(x-4)+16/(x^2-16)=0      Log On


   

Question 919265: Please help me solve:
(x-6)/(x-4)+16/(x^2-16)=0
Found 2 solutions by josgarithmetic, lwsshak3:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The lowest common denominator is (x-4)(x+4). Multiply the left and right members by (x-4)(x+4), and the simplification process will clear the denominators.

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
(x-6)/(x-4)+16/(x^2-16)=0
(x-6)/(x-4)+16/(x+4)(x-4)=0
lcd:(x+4)(x-4)
(x-6)(x+4)+16=0
x^2-2x-24+14=0
x^2-2x-10=0
solve by quadratic formula:
x+=+%28%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%29%2F%282%2Aa%29+
a=1, b=-2, c=-10