-1000x^2+1100x-2.5=0

Solution for -1000x^2+1100x-2.5=0 equation:

-1000x^2+1100x-2.5=0

a = -1000; b = 1100; c = -2.5;
Δ = b2-4ac
Δ = 11002-4·(-1000)·(-2.5)
Δ = 1200000
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:

$\sqrt{\Delta}=\sqrt{1200000}=\sqrt{40000*30}=\sqrt{40000}*\sqrt{30}=200\sqrt{30}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1100)-200\sqrt{30}}{2*-1000}=\frac{-1100-200\sqrt{30}}{-2000}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1100)+200\sqrt{30}}{2*-1000}=\frac{-1100+200\sqrt{30}}{-2000}
$