x^2+3000x-1000000=0

Solution for x^2+3000x-1000000=0 equation:

x^2+3000x-1000000=0

a = 1; b = 3000; c = -1000000;
Δ = b2-4ac
Δ = 30002-4·1·(-1000000)
Δ = 13000000
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:

$\sqrt{\Delta}=\sqrt{13000000}=\sqrt{1000000*13}=\sqrt{1000000}*\sqrt{13}=1000\sqrt{13}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3000)-1000\sqrt{13}}{2*1}=\frac{-3000-1000\sqrt{13}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3000)+1000\sqrt{13}}{2*1}=\frac{-3000+1000\sqrt{13}}{2}
$