250=x*x

Solution for 250=x*x equation:

250=x*x

We move all terms to the left:

250-(x*x)=0

We add all the numbers together, and all the variables

-(+x*x)+250=0

We get rid of parentheses

-x*x+250=0

Wy multiply elements

-1x^2+250=0

a = -1; b = 0; c = +250;
Δ = b2-4ac
Δ = 02-4·(-1)·250
Δ = 1000
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:

$\sqrt{\Delta}=\sqrt{1000}=\sqrt{100*10}=\sqrt{100}*\sqrt{10}=10\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{10}}{2*-1}=\frac{0-10\sqrt{10}}{-2}
=-\frac{10\sqrt{10}}{-2}
=-\frac{5\sqrt{10}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{10}}{2*-1}=\frac{0+10\sqrt{10}}{-2}
=\frac{10\sqrt{10}}{-2}
=\frac{5\sqrt{10}}{-1}
$