x^2=250000

Solution for x^2=250000 equation:

x^2=250000

We move all terms to the left:

x^2-(250000)=0

a = 1; b = 0; c = -250000;
Δ = b2-4ac
Δ = 02-4·1·(-250000)
Δ = 1000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1000000}=1000$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-1000}{2*1}=\frac{-1000}{2}
=-500
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+1000}{2*1}=\frac{1000}{2}
=500
$