12x^2-59x-5=0

Solution for 12x^2-59x-5=0 equation:

12x^2-59x-5=0

a = 12; b = -59; c = -5;
Δ = b2-4ac
Δ = -592-4·12·(-5)
Δ = 3721
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3721}=61$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-59)-61}{2*12}=\frac{-2}{24}
=-1/12
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-59)+61}{2*12}=\frac{120}{24}
=5
$