5000(x^2)=1250

Solution for 5000(x^2)=1250 equation:

5000(x^2)=1250

We move all terms to the left:

5000(x^2)-(1250)=0

a = 5000; b = 0; c = -1250;
Δ = b2-4ac
Δ = 02-4·5000·(-1250)
Δ = 25000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25000000}=5000$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-5000}{2*5000}=\frac{-5000}{10000}
=-1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+5000}{2*5000}=\frac{5000}{10000}
=1/2
$