19n^2-37n-2=0

Solution for 19n^2-37n-2=0 equation:

19n^2-37n-2=0

a = 19; b = -37; c = -2;
Δ = b2-4ac
Δ = -372-4·19·(-2)
Δ = 1521
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1521}=39$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-37)-39}{2*19}=\frac{-2}{38}
=-1/19
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-37)+39}{2*19}=\frac{76}{38}
=2
$