6y^2-149y-102=0

Solution for 6y^2-149y-102=0 equation:

6y^2-149y-102=0

a = 6; b = -149; c = -102;
Δ = b2-4ac
Δ = -1492-4·6·(-102)
Δ = 24649
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{24649}=157$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-149)-157}{2*6}=\frac{-8}{12}
=-2/3
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-149)+157}{2*6}=\frac{306}{12}
=25+1/2
$