11x^2-245x-750=0

Solution for 11x^2-245x-750=0 equation:

11x^2-245x-750=0

a = 11; b = -245; c = -750;
Δ = b2-4ac
Δ = -2452-4·11·(-750)
Δ = 93025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{93025}=305$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-245)-305}{2*11}=\frac{-60}{22}
=-2+8/11
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-245)+305}{2*11}=\frac{550}{22}
=25
$