125=60s2

Solution for 125=60s2 equation:

125=60s^2

We move all terms to the left:

125-(60s^2)=0

a = -60; b = 0; c = +125;
Δ = b2-4ac
Δ = 02-4·(-60)·125
Δ = 30000
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:

$\sqrt{\Delta}=\sqrt{30000}=\sqrt{10000*3}=\sqrt{10000}*\sqrt{3}=100\sqrt{3}$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-100\sqrt{3}}{2*-60}=\frac{0-100\sqrt{3}}{-120}
=-\frac{100\sqrt{3}}{-120}
=-\frac{5\sqrt{3}}{-6}
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+100\sqrt{3}}{2*-60}=\frac{0+100\sqrt{3}}{-120}
=\frac{100\sqrt{3}}{-120}
=\frac{5\sqrt{3}}{-6}
$