500=50x2

Solution for 500=50x2 equation:

500=50x^2

We move all terms to the left:

500-(50x^2)=0

a = -50; b = 0; c = +500;
Δ = b2-4ac
Δ = 02-4·(-50)·500
Δ = 100000
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:

$\sqrt{\Delta}=\sqrt{100000}=\sqrt{10000*10}=\sqrt{10000}*\sqrt{10}=100\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-100\sqrt{10}}{2*-50}=\frac{0-100\sqrt{10}}{-100}
=-\frac{100\sqrt{10}}{-100}
=-\frac{\sqrt{10}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+100\sqrt{10}}{2*-50}=\frac{0+100\sqrt{10}}{-100}
=\frac{100\sqrt{10}}{-100}
=\frac{\sqrt{10}}{-1}
$