z+1/z-1=1

Solution for z+1/z-1=1 equation:

z+1/z-1=1

We move all terms to the left:

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


Domain of the equation: z!=0

z∈R


We add all the numbers together, and all the variables

z+1/z-2=0

We multiply all the terms by the denominator


z*z-2*z+1=0

We add all the numbers together, and all the variables

-2z+z*z+1=0

Wy multiply elements

z^2-2z+1=0

a = 1; b = -2; c = +1;
Δ = b2-4ac
Δ = -22-4·1·1
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$z=\frac{-b}{2a}=\frac{2}{2}=1$