-11x^2+1100x-26400=0

Solution for -11x^2+1100x-26400=0 equation:

-11x^2+1100x-26400=0

a = -11; b = 1100; c = -26400;
Δ = b2-4ac
Δ = 11002-4·(-11)·(-26400)
Δ = 48400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{48400}=220$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1100)-220}{2*-11}=\frac{-1320}{-22}
=+60
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1100)+220}{2*-11}=\frac{-880}{-22}
=+40
$