11x2-464x-1238.88=0

Solution for 11x2-464x-1238.88=0 equation:

11x^2-464x-1238.88=0

a = 11; b = -464; c = -1238.88;
Δ = b2-4ac
Δ = -4642-4·11·(-1238.88)
Δ = 269806.72
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{-(-464)-\sqrt{269806.72}}{2*11}=\frac{464-\sqrt{269806.72}}{22}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-464)+\sqrt{269806.72}}{2*11}=\frac{464+\sqrt{269806.72}}{22}
$