12x^2-11x-20=0

Solution for 12x^2-11x-20=0 equation:

12x^2-11x-20=0

a = 12; b = -11; c = -20;
Δ = b2-4ac
Δ = -112-4·12·(-20)
Δ = 1081
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{-(-11)-\sqrt{1081}}{2*12}=\frac{11-\sqrt{1081}}{24}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+\sqrt{1081}}{2*12}=\frac{11+\sqrt{1081}}{24}
$