x2+8000x+2500000=0

Solution for x2+8000x+2500000=0 equation:

x2+8000x+2500000=0

We add all the numbers together, and all the variables

x^2+8000x+2500000=0

a = 1; b = 8000; c = +2500000;
Δ = b2-4ac
Δ = 80002-4·1·2500000
Δ = 54000000
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:

$\sqrt{\Delta}=\sqrt{54000000}=\sqrt{9000000*6}=\sqrt{9000000}*\sqrt{6}=3000\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8000)-3000\sqrt{6}}{2*1}=\frac{-8000-3000\sqrt{6}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8000)+3000\sqrt{6}}{2*1}=\frac{-8000+3000\sqrt{6}}{2}
$