x^2+800x-80000=0

Solution for x^2+800x-80000=0 equation:

x^2+800x-80000=0

a = 1; b = 800; c = -80000;
Δ = b2-4ac
Δ = 8002-4·1·(-80000)
Δ = 960000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{960000}=\sqrt{160000*6}=\sqrt{160000}*\sqrt{6}=400\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(800)-400\sqrt{6}}{2*1}=\frac{-800-400\sqrt{6}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(800)+400\sqrt{6}}{2*1}=\frac{-800+400\sqrt{6}}{2}
$