7n^2-19n-20000=0

Solution for 7n^2-19n-20000=0 equation:

7n^2-19n-20000=0

a = 7; b = -19; c = -20000;
Δ = b2-4ac
Δ = -192-4·7·(-20000)
Δ = 560361
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-19)-\sqrt{560361}}{2*7}=\frac{19-\sqrt{560361}}{14}
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-19)+\sqrt{560361}}{2*7}=\frac{19+\sqrt{560361}}{14}
$