# In the land of polynomials with 500 dimensions , Again ...

$\sum_{i=1}^{500}\frac{1}{O_{i}+x_{i}}$

Where $$O_{i}$$ denotes $$i^{th}$$ odd number , for a polynomial mentioned below ,

$x^{500}-2x^{498}+x^{496}-\cdots+x^2-1723$ which has roots , $$x_{1},x_{2},\cdots,x_{500}$$

Evaluate the above summation.

###### Also see this

Note by Chinmay Sangawadekar
2 years, 4 months ago

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Chinmay, if you want an unique answer, we need the expression to be somewhat-symetric. Otherwise we would probably have to use numerical methods.

- 2 years, 4 months ago

You mean , the polunomial should be symetric ? and why won't we get an unique answet ?

- 2 years, 4 months ago

the expression, the summation you gave

- 2 years, 4 months ago

You are free to edit the note at your will..@Aareyan Manzoor .

- 2 years, 4 months ago

@Aareyan Manzoor can you suggest any symmetric format ?

- 2 years, 4 months ago