6y^2-46y-140=0

Solution for 6y^2-46y-140=0 equation:

6y^2-46y-140=0

a = 6; b = -46; c = -140;
Δ = b2-4ac
Δ = -462-4·6·(-140)
Δ = 5476
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5476}=74$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-46)-74}{2*6}=\frac{-28}{12}
=-2+1/3
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-46)+74}{2*6}=\frac{120}{12}
=10
$