3x^2=25000

Solution for 3x^2=25000 equation:

3x^2=25000

We move all terms to the left:

3x^2-(25000)=0

a = 3; b = 0; c = -25000;
Δ = b2-4ac
Δ = 02-4·3·(-25000)
Δ = 300000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{300000}=\sqrt{10000*30}=\sqrt{10000}*\sqrt{30}=100\sqrt{30}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-100\sqrt{30}}{2*3}=\frac{0-100\sqrt{30}}{6}
=-\frac{100\sqrt{30}}{6}
=-\frac{50\sqrt{30}}{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+100\sqrt{30}}{2*3}=\frac{0+100\sqrt{30}}{6}
=\frac{100\sqrt{30}}{6}
=\frac{50\sqrt{30}}{3}
$