16=1024x^2

Solution for 16=1024x^2 equation:

16=1024x^2

We move all terms to the left:

16-(1024x^2)=0

a = -1024; b = 0; c = +16;
Δ = b2-4ac
Δ = 02-4·(-1024)·16
Δ = 65536
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{65536}=256$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-256}{2*-1024}=\frac{-256}{-2048}
=1/8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+256}{2*-1024}=\frac{256}{-2048}
=-1/8
$