875000=1750v^2

Solution for 875000=1750v^2 equation:

875000=1750v^2

We move all terms to the left:

875000-(1750v^2)=0

a = -1750; b = 0; c = +875000;
Δ = b2-4ac
Δ = 02-4·(-1750)·875000
Δ = 6125000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{6125000000}=\sqrt{1225000000*5}=\sqrt{1225000000}*\sqrt{5}=35000\sqrt{5}$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-35000\sqrt{5}}{2*-1750}=\frac{0-35000\sqrt{5}}{-3500}
=-\frac{35000\sqrt{5}}{-3500}
=-\frac{10\sqrt{5}}{-1}
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+35000\sqrt{5}}{2*-1750}=\frac{0+35000\sqrt{5}}{-3500}
=\frac{35000\sqrt{5}}{-3500}
=\frac{10\sqrt{5}}{-1}
$