2n^2+2n-760=0

Solution for 2n^2+2n-760=0 equation:

2n^2+2n-760=0

a = 2; b = 2; c = -760;
Δ = b2-4ac
Δ = 22-4·2·(-760)
Δ = 6084
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6084}=78$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-78}{2*2}=\frac{-80}{4}
=-20
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+78}{2*2}=\frac{76}{4}
=19
$