6w^2=864

Solution for 6w^2=864 equation:

6w^2=864

We move all terms to the left:

6w^2-(864)=0

a = 6; b = 0; c = -864;
Δ = b2-4ac
Δ = 02-4·6·(-864)
Δ = 20736
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{20736}=144$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-144}{2*6}=\frac{-144}{12}
=-12
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+144}{2*6}=\frac{144}{12}
=12
$