10000=5x^2

Solution for 10000=5x^2 equation:

10000=5x^2

We move all terms to the left:

10000-(5x^2)=0

a = -5; b = 0; c = +10000;
Δ = b2-4ac
Δ = 02-4·(-5)·10000
Δ = 200000
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:

$\sqrt{\Delta}=\sqrt{200000}=\sqrt{40000*5}=\sqrt{40000}*\sqrt{5}=200\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-200\sqrt{5}}{2*-5}=\frac{0-200\sqrt{5}}{-10}
=-\frac{200\sqrt{5}}{-10}
=-\frac{20\sqrt{5}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+200\sqrt{5}}{2*-5}=\frac{0+200\sqrt{5}}{-10}
=\frac{200\sqrt{5}}{-10}
=\frac{20\sqrt{5}}{-1}
$