(x-1)x=1024,x=

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

(x-1)x=1024.x=

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

x^2-1x-(+1024.x)=0

We get rid of parentheses

x^2-1x-1024.x=0

We add all the numbers together, and all the variables

x^2-1025x=0

a = 1; b = -1025; c = 0;
Δ = b2-4ac
Δ = -10252-4·1·0
Δ = 1050625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1050625}=1025$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1025)-1025}{2*1}=\frac{0}{2}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1025)+1025}{2*1}=\frac{2050}{2}
=1025
$