-10n^2-22n+3636=0

Solution for -10n^2-22n+3636=0 equation:

-10n^2-22n+3636=0

a = -10; b = -22; c = +3636;
Δ = b2-4ac
Δ = -222-4·(-10)·3636
Δ = 145924
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{145924}=382$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-22)-382}{2*-10}=\frac{-360}{-20}
=+18
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-22)+382}{2*-10}=\frac{404}{-20}
=-20+1/5
$