0=x^2-1024

Solution for 0=x^2-1024 equation:

0=x^2-1024

We move all terms to the left:

0-(x^2-1024)=0

We add all the numbers together, and all the variables

-(x^2-1024)=0

We get rid of parentheses

-x^2+1024=0

We add all the numbers together, and all the variables

-1x^2+1024=0

a = -1; b = 0; c = +1024;
Δ = b2-4ac
Δ = 02-4·(-1)·1024
Δ = 4096
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4096}=64$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-64}{2*-1}=\frac{-64}{-2}
=+32
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+64}{2*-1}=\frac{64}{-2}
=-32
$