3w^2=70

Solution for 3w^2=70 equation:

3w^2=70

We move all terms to the left:

3w^2-(70)=0

a = 3; b = 0; c = -70;
Δ = b2-4ac
Δ = 02-4·3·(-70)
Δ = 840
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{840}=\sqrt{4*210}=\sqrt{4}*\sqrt{210}=2\sqrt{210}$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{210}}{2*3}=\frac{0-2\sqrt{210}}{6}
=-\frac{2\sqrt{210}}{6}
=-\frac{\sqrt{210}}{3}
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{210}}{2*3}=\frac{0+2\sqrt{210}}{6}
=\frac{2\sqrt{210}}{6}
=\frac{\sqrt{210}}{3}
$