SOLUTION: X+3/x-1=x+4/x-5 (x+3)(x-5)=(x-1)(x+4) x^2+3x-15=x^2-x-4 x^2+4x+11=x^2

Algebra ->  Equations -> SOLUTION: X+3/x-1=x+4/x-5 (x+3)(x-5)=(x-1)(x+4) x^2+3x-15=x^2-x-4 x^2+4x+11=x^2      Log On


   

Question 191305: X+3/x-1=x+4/x-5
(x+3)(x-5)=(x-1)(x+4)
x^2+3x-15=x^2-x-4
x^2+4x+11=x^2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2B3%29%2F%28x-1%29=%28x%2B4%29%2F%28x-5%29 Start with the given equation.


%28x%2B3%29%28x-5%29=%28x-1%29%28x%2B4%29 Cross multiply


x%5E2-2x-15=x%5E2%2B3x-4 FOIL (this is where you made a mistake)


x%5E2-2x-15-x%5E2-3x%2B4=0 Get everything to the left side


-5x-11=0 Combine like terms.


-5x=0%2B11 Add 11 to both sides.


-5x=11 Combine like terms on the right side.


x=%2811%29%2F%28-5%29 Divide both sides by -5 to isolate x.


x=-11%2F5 Reduce.


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Answer:

So the answer is x=-11%2F5 which in decimal form is x=-2.2.