173899=225v^2

Solution for 173899=225v^2 equation:

173899=225v^2

We move all terms to the left:

173899-(225v^2)=0

a = -225; b = 0; c = +173899;
Δ = b2-4ac
Δ = 02-4·(-225)·173899
Δ = 156509100
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:

$\sqrt{\Delta}=\sqrt{156509100}=\sqrt{900*173899}=\sqrt{900}*\sqrt{173899}=30\sqrt{173899}$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-30\sqrt{173899}}{2*-225}=\frac{0-30\sqrt{173899}}{-450}
=-\frac{30\sqrt{173899}}{-450}
=-\frac{\sqrt{173899}}{-15}
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+30\sqrt{173899}}{2*-225}=\frac{0+30\sqrt{173899}}{-450}
=\frac{30\sqrt{173899}}{-450}
=\frac{\sqrt{173899}}{-15}
$