6v2-v-126=0

Solution for 6v2-v-126=0 equation:

6v^2-v-126=0

We add all the numbers together, and all the variables

6v^2-1v-126=0

a = 6; b = -1; c = -126;
Δ = b2-4ac
Δ = -12-4·6·(-126)
Δ = 3025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3025}=55$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-55}{2*6}=\frac{-54}{12}
=-4+1/2
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+55}{2*6}=\frac{56}{12}
=4+2/3
$