6y^2-16y-70=0

Solution for 6y^2-16y-70=0 equation:

6y^2-16y-70=0

a = 6; b = -16; c = -70;
Δ = b2-4ac
Δ = -162-4·6·(-70)
Δ = 1936
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1936}=44$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-16)-44}{2*6}=\frac{-28}{12}
=-2+1/3
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+44}{2*6}=\frac{60}{12}
=5
$