Question

How do you solve `(3x )/ (x+1) = 12 / (x-1)`?

Answer 1

the answer is `x=(5+sqrt(41))/(2), (5-sqrt(41))/(2)`

Explanation:

first you have to cross multiply and you get: `12x+12=3x^2-3x` and now move all the terms to one side to make it equal to zero. `3x^2-15x-12=0` and you can take out `3` from all numbers so: `3(x^2-5x-4)=0` since you can't factor the parenthesis equation, you have to use the quadratic formula which is: `(-bsqrt(b^2-4ac))/(2a)` and put in the respectful numbers in:`-(-15)sqrt(4(3)(-12))/(2(3))` and now solve to get your answer