11x^2-44x-55=0

Solution for 11x^2-44x-55=0 equation:

11x^2-44x-55=0

a = 11; b = -44; c = -55;
Δ = b2-4ac
Δ = -442-4·11·(-55)
Δ = 4356
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4356}=66$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-44)-66}{2*11}=\frac{-22}{22}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-44)+66}{2*11}=\frac{110}{22}
=5
$