2n2-n-820=0

Solution for 2n2-n-820=0 equation:

2n^2-n-820=0

We add all the numbers together, and all the variables

2n^2-1n-820=0

a = 2; b = -1; c = -820;
Δ = b2-4ac
Δ = -12-4·2·(-820)
Δ = 6561
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6561}=81$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-81}{2*2}=\frac{-80}{4}
=-20
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+81}{2*2}=\frac{82}{4}
=20+1/2
$