11x2-15x-10=0

Solution for 11x2-15x-10=0 equation:

11x^2-15x-10=0

a = 11; b = -15; c = -10;
Δ = b2-4ac
Δ = -152-4·11·(-10)
Δ = 665
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{-(-15)-\sqrt{665}}{2*11}=\frac{15-\sqrt{665}}{22}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+\sqrt{665}}{2*11}=\frac{15+\sqrt{665}}{22}
$