11x^2+19.9x-2.1=0

Solution for 11x^2+19.9x-2.1=0 equation:

11x^2+19.9x-2.1=0

a = 11; b = 19.9; c = -2.1;
Δ = b2-4ac
Δ = 19.92-4·11·(-2.1)
Δ = 488.41
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(19.9)-\sqrt{488.41}}{2*11}=\frac{-19.9-\sqrt{488.41}}{22}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(19.9)+\sqrt{488.41}}{2*11}=\frac{-19.9+\sqrt{488.41}}{22}
$