s2=334

Solution for s2=334 equation:

s2=334

We move all terms to the left:

s2-(334)=0

We add all the numbers together, and all the variables

s^2-334=0

a = 1; b = 0; c = -334;
Δ = b2-4ac
Δ = 02-4·1·(-334)
Δ = 1336
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:

$\sqrt{\Delta}=\sqrt{1336}=\sqrt{4*334}=\sqrt{4}*\sqrt{334}=2\sqrt{334}$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{334}}{2*1}=\frac{0-2\sqrt{334}}{2}
=-\frac{2\sqrt{334}}{2}
=-\sqrt{334}
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{334}}{2*1}=\frac{0+2\sqrt{334}}{2}
=\frac{2\sqrt{334}}{2}
=\sqrt{334}
$