25000=x^2

Solution for 25000=x^2 equation:

25000=x^2

We move all terms to the left:

25000-(x^2)=0

We add all the numbers together, and all the variables

-1x^2+25000=0

a = -1; b = 0; c = +25000;
Δ = b2-4ac
Δ = 02-4·(-1)·25000
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*-1}=\frac{0-100\sqrt{10}}{-2}
=-\frac{100\sqrt{10}}{-2}
=-\frac{50\sqrt{10}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+100\sqrt{10}}{2*-1}=\frac{0+100\sqrt{10}}{-2}
=\frac{100\sqrt{10}}{-2}
=\frac{50\sqrt{10}}{-1}
$