2a^2-3a-8000=0

Solution for 2a^2-3a-8000=0 equation:

2a^2-3a-8000=0

a = 2; b = -3; c = -8000;
Δ = b2-4ac
Δ = -32-4·2·(-8000)
Δ = 64009
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64009}=253$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-253}{2*2}=\frac{-250}{4}
=-62+1/2
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+253}{2*2}=\frac{256}{4}
=64
$