6v^2=726

Solution for 6v^2=726 equation:

6v^2=726

We move all terms to the left:

6v^2-(726)=0

a = 6; b = 0; c = -726;
Δ = b2-4ac
Δ = 02-4·6·(-726)
Δ = 17424
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{17424}=132$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-132}{2*6}=\frac{-132}{12}
=-11
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+132}{2*6}=\frac{132}{12}
=11
$