73.5=6s^2

Solution for 73.5=6s^2 equation:

73.5=6s^2

We move all terms to the left:

73.5-(6s^2)=0

a = -6; b = 0; c = +73.5;
Δ = b2-4ac
Δ = 02-4·(-6)·73.5
Δ = 1764
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1764}=42$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-42}{2*-6}=\frac{-42}{-12}
=3+1/2
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+42}{2*-6}=\frac{42}{-12}
=-3+1/2
$