11x^2-66x+88=0

Solution for 11x^2-66x+88=0 equation:

11x^2-66x+88=0

a = 11; b = -66; c = +88;
Δ = b2-4ac
Δ = -662-4·11·88
Δ = 484
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{484}=22$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-66)-22}{2*11}=\frac{44}{22}
=2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-66)+22}{2*11}=\frac{88}{22}
=4
$