SOLUTION: Solve the following rational equations. State all restrictions, if any exist x/4x-8 − 2/3x+6 = 4x^2-2x+9/12x^2−48

Algebra ->  Rational-functions -> SOLUTION: Solve the following rational equations. State all restrictions, if any exist x/4x-8 − 2/3x+6 = 4x^2-2x+9/12x^2−48       Log On


   

Question 1168030: Solve the following rational equations. State all restrictions, if any exist
x/4x-8 − 2/3x+6 = 4x^2-2x+9/12x^2−48
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Ambiguous.
------------
x%2F4x-8-+2%2F3x%2B6+=+4x%5E2-2x%2B9%2F12x%5E2%E2%88%9248
---
After some emails:
x%2F%284x-8%29-+2%2F%283x%2B6%29+=+%284x%5E2-2x%2B9%29%2F%2812x%5E2-48%29
x%2F%284%28x-2%29%29-+2%2F%283%28x%2B2%29%29+=+%284x%5E2-2x%2B9%29%2F%2812%28x%5E2-4%29%29
Multiply by 12
---
3x%2F%28x-2%29-+8%2F%28x%2B2%29+=+%284x%5E2-2x%2B9%29%2F%28x%5E2-4%29
Multiply by (x^2-4)
---
3x%2A%28x%2B2%29-+8%2A%28x-2%29+=+%284x%5E2-2x%2B9%29
3x%5E2%2B6x-+8x%2B16+=+%284x%5E2-2x%2B9%29
3x%5E2+-+2x+%2B+16+=+4x%5E2-2x%2B9%29
16+=+x%5E2%2B9%29
x^2 = 7
x+=+sqrt%287%29
x+=+-sqrt%287%29