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(x^2+9)/(x^2-1)-(x-2)/(x+1)+5/(1-x)=0 equation

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Numerical solution:

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The solution

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 2                        
x  + 9   x - 2     5      
------ - ----- + ----- = 0
 2       x + 1   1 - x    
x  - 1                    
$$\left(- \frac{x - 2}{x + 1} + \frac{x^{2} + 9}{x^{2} - 1}\right) + \frac{5}{1 - x} = 0$$
The graph
Sum and product of roots [src]
sum
0
$$0$$
=
0
$$0$$
product
1
$$1$$
=
1
$$1$$
1