7n^2-2n-69800=0

Solution for 7n^2-2n-69800=0 equation:

7n^2-2n-69800=0

a = 7; b = -2; c = -69800;
Δ = b2-4ac
Δ = -22-4·7·(-69800)
Δ = 1954404
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1954404}=1398$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-1398}{2*7}=\frac{-1396}{14}
=-99+5/7
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+1398}{2*7}=\frac{1400}{14}
=100
$