s(1/3*1632)=726

Solution for s(1/3*1632)=726 equation:

s(1/3*1632)=726

We move all terms to the left:

s(1/3*1632)-(726)=0

We add all the numbers together, and all the variables

s(+1/3*1632)-726=0

We multiply parentheses

1632s^2-726=0

a = 1632; b = 0; c = -726;
Δ = b2-4ac
Δ = 02-4·1632·(-726)
Δ = 4739328
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{4739328}=\sqrt{278784*17}=\sqrt{278784}*\sqrt{17}=528\sqrt{17}$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-528\sqrt{17}}{2*1632}=\frac{0-528\sqrt{17}}{3264}
=-\frac{528\sqrt{17}}{3264}
=-\frac{11\sqrt{17}}{68}
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+528\sqrt{17}}{2*1632}=\frac{0+528\sqrt{17}}{3264}
=\frac{528\sqrt{17}}{3264}
=\frac{11\sqrt{17}}{68}
$