6v^2-10v-84=0

Solution for 6v^2-10v-84=0 equation:

6v^2-10v-84=0

a = 6; b = -10; c = -84;
Δ = b2-4ac
Δ = -102-4·6·(-84)
Δ = 2116
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2116}=46$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-46}{2*6}=\frac{-36}{12}
=-3
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+46}{2*6}=\frac{56}{12}
=4+2/3
$