11x2-10x-250=0

Solution for 11x2-10x-250=0 equation:

11x^2-10x-250=0

a = 11; b = -10; c = -250;
Δ = b2-4ac
Δ = -102-4·11·(-250)
Δ = 11100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{11100}=\sqrt{100*111}=\sqrt{100}*\sqrt{111}=10\sqrt{111}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-10\sqrt{111}}{2*11}=\frac{10-10\sqrt{111}}{22}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+10\sqrt{111}}{2*11}=\frac{10+10\sqrt{111}}{22}
$