9/z=10-z

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Solution for 9/z=10-z equation: 


D( z )

z = 0

z = 0

z = 0

z in (-oo:0) U (0:+oo)

9/z = 10-z // - 10-z

z+9/z-10 = 0

1*z^1+9*z^-1-10*z^0 = 0

(1*z^2-10*z^1+9*z^0)/(z^1) = 0 // * z^2

z^1*(1*z^2-10*z^1+9*z^0) = 0

z^1

z^2-10*z+9 = 0

z^2-10*z+9 = 0

DELTA = (-10)^2-(1*4*9)

DELTA = 64

DELTA > 0

z = (64^(1/2)+10)/(1*2) or z = (10-64^(1/2))/(1*2)

z = 9 or z = 1

z in { 1, 9} 

z in { 1, 9 }

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