-5n^2+6n+104=0

Solution for -5n^2+6n+104=0 equation:

-5n^2+6n+104=0

a = -5; b = 6; c = +104;
Δ = b2-4ac
Δ = 62-4·(-5)·104
Δ = 2116
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2116}=46$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-46}{2*-5}=\frac{-52}{-10}
=5+1/5
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+46}{2*-5}=\frac{40}{-10}
=-4
$