# Binohow?

Algebra Level 4

$\large \displaystyle \sum_{r=0}^n \frac{r + 1}{{n \choose r}} = \displaystyle \sum_{r=0}^n \frac{n^2 -3n +5 }{2{n \choose r}}$

If $$n_{1}$$ and $$n_{2}$$ are the two values of $$n$$ which satisfy the given equation above, find the value of $$n_{1}^2 + n_{2}^2$$.

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