How are both integers

The sum of absolute values of all real numbers xx, such that both of the fractions x2+4x17x26x5\frac{x^2+4x-1}{7x^2-6x-5} and 1x1+x\frac{1-x}{1+x} are integers, can be written as ab \frac{a}{b} , where aa and bb are coprime positive integers. What is the value of a+ba+b?

Details and assumptions

If you think that there are no real numbers xx, then the (empty) sum is 0, and you should type your numerical answer as 1.

×

Problem Loading...

Note Loading...

Set Loading...