(x-1)x=1024

Solution for (x-1)x=1024 equation:

(x-1)x=1024

We move all terms to the left:

(x-1)x-(1024)=0

We multiply parentheses

x^2-1x-1024=0

a = 1; b = -1; c = -1024;
Δ = b2-4ac
Δ = -12-4·1·(-1024)
Δ = 4097
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-\sqrt{4097}}{2*1}=\frac{1-\sqrt{4097}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{4097}}{2*1}=\frac{1+\sqrt{4097}}{2}
$