1000x2+11000x+28000=0

Solution for 1000x2+11000x+28000=0 equation:

1000x^2+11000x+28000=0

a = 1000; b = 11000; c = +28000;
Δ = b2-4ac
Δ = 110002-4·1000·28000
Δ = 9000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9000000}=3000$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11000)-3000}{2*1000}=\frac{-14000}{2000}
=-7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11000)+3000}{2*1000}=\frac{-8000}{2000}
=-4
$