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z+1/z=2
We move all terms to the left:
z+1/z-(2)=0
Domain of the equation: z!=0We multiply all the terms by the denominator
z∈R
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:$z=\frac{-b}{2a}=\frac{2}{2}=1$
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