11x^2-100x-100=0

Solution for 11x^2-100x-100=0 equation:

11x^2-100x-100=0

a = 11; b = -100; c = -100;
Δ = b2-4ac
Δ = -1002-4·11·(-100)
Δ = 14400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{14400}=120$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-100)-120}{2*11}=\frac{-20}{22}
=-10/11
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-100)+120}{2*11}=\frac{220}{22}
=10
$