All possible quadratic equations ax² +bx+1 = 0 taking $\mathrm{a}\in \{1,2,3,\dots ..\mathrm{n}\},\mathrm{b}\in \{-1,-2,-3,\dots \dots -\mathrm{n}\}$ and if $\left({\mathrm{\alpha }}_{\mathrm{i}},{\mathrm{\beta }}_{\mathrm{i}}\right)\mathrm{i}=1,2,3\dots \dots \mathrm{n}$ represent solution sets of these equations then  $\sum \frac{1}{{\mathrm{\alpha }}_{\mathrm{i}}}+\sum \frac{1}{{\mathrm{\beta }}_{\mathrm{i}}}$ eqauls