6y^2-17y-15=0

Solution for 6y^2-17y-15=0 equation:

6y^2-17y-15=0

a = 6; b = -17; c = -15;
Δ = b2-4ac
Δ = -172-4·6·(-15)
Δ = 649
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-17)-\sqrt{649}}{2*6}=\frac{17-\sqrt{649}}{12}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17)+\sqrt{649}}{2*6}=\frac{17+\sqrt{649}}{12}
$