http://google.com, pub-7771400403364887, DIRECT, f08c47fec0942fa0 Find the fixed points of f(z)=3z-10/(z+1)

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Find the fixed points of f(z)=3z-10/(z+1)

Solutions 
Z=3z-10/(z-1)= z(z+1)=3z-10

Z²+z=3z-10

Z²+z-3z=-10
Z²-2z+10=0

Z=2±√(4-40)/(2)=2±6i/(2)

Z₁=1+3i and z₂=1-3i

 

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