11x2-32x-315=0

Solution for 11x2-32x-315=0 equation:

11x^2-32x-315=0

a = 11; b = -32; c = -315;
Δ = b2-4ac
Δ = -322-4·11·(-315)
Δ = 14884
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{14884}=122$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-32)-122}{2*11}=\frac{-90}{22}
=-4+1/11
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-32)+122}{2*11}=\frac{154}{22}
=7
$