121x-11x^2-105=0

Solution for 121x-11x^2-105=0 equation:

121x-11x^2-105=0

a = -11; b = 121; c = -105;
Δ = b2-4ac
Δ = 1212-4·(-11)·(-105)
Δ = 10021
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{-(121)-\sqrt{10021}}{2*-11}=\frac{-121-\sqrt{10021}}{-22}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(121)+\sqrt{10021}}{2*-11}=\frac{-121+\sqrt{10021}}{-22}
$