x^2+5000x-4640000=0

Solution for x^2+5000x-4640000=0 equation:

x^2+5000x-4640000=0

a = 1; b = 5000; c = -4640000;
Δ = b2-4ac
Δ = 50002-4·1·(-4640000)
Δ = 43560000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{43560000}=6600$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5000)-6600}{2*1}=\frac{-11600}{2}
=-5800
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5000)+6600}{2*1}=\frac{1600}{2}
=800
$