6s^2-120s-126=0

Solution for 6s^2-120s-126=0 equation:

6s^2-120s-126=0

a = 6; b = -120; c = -126;
Δ = b2-4ac
Δ = -1202-4·6·(-126)
Δ = 17424
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{17424}=132$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-120)-132}{2*6}=\frac{-12}{12}
=-1
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-120)+132}{2*6}=\frac{252}{12}
=21
$