Solve: (x+5/x)+(6/x-4)=(-7/x^2-4x)

Question

I multiplied the entire function by x and x-4 and after doing that I got down to the quadratic equation
x^2+7x-13=0

I did the quadratic and got

x=1.525 and -8.525

I feel like I made a mistake because when I plug in both of those answers for x separately, it never works out. Not sure if I made an error in calculating or in plugging in, or if there is no solution.

Thanks.

Answer 1

your answer is wrong.... redo the problem and move 1.5 and make it 5.125

Answer 2

I'm not quite sure what you mean. Can you please elaborate

Answer 3

Not sure you should go by me, because I took it down wrong the first time, but I got:

x + 11/x - 4 + 7/x^2 + 4x = 0

Gathering and multiplying by x^2:

5x^3 - 4x^2 + 11x + 7 = 0

Does this makes sense to you in the context of your course?