z=21/z-4

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Solution for z=21/z-4 equation: 


D( z )

z = 0

z = 0

z = 0

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

z = 21/z-4 // - 21/z-4

z-(21/z)+4 = 0

z-21*z^-1+4 = 0

1*z^1-21*z^-1+4*z^0 = 0

(1*z^2+4*z^1-21*z^0)/(z^1) = 0 // * z^2

z^1*(1*z^2+4*z^1-21*z^0) = 0

z^1

z^2+4*z-21 = 0

z^2+4*z-21 = 0

DELTA = 4^2-(-21*1*4)

DELTA = 100

DELTA > 0

z = (100^(1/2)-4)/(1*2) or z = (-100^(1/2)-4)/(1*2)

z = 3 or z = -7

z in { -7, 3} 

z in { -7, 3 }

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