(z-2)/(z-1)=z

Solution for (z-2)/(z-1)=z equation:

(z-2)/(z-1)=z

We move all terms to the left:

(z-2)/(z-1)-(z)=0


Domain of the equation: (z-1)!=0

We move all terms containing z to the left, all other terms to the right

z!=1

z∈R


We add all the numbers together, and all the variables

-1z+(z-2)/(z-1)=0

We multiply all the terms by the denominator


-1z*(z-1)+(z-2)=0

We multiply parentheses

-z^2+1z+(z-2)=0

We get rid of parentheses

-z^2+1z+z-2=0

We add all the numbers together, and all the variables

-1z^2+2z-2=0

a = -1; b = 2; c = -2;
Δ = b2-4ac
Δ = 22-4·(-1)·(-2)
Δ = -4
Delta is less than zero, so there is no solution for the equation