z+4/z-9=11/-9

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Solution for z+4/z-9=11/-9 equation: 


D( z )

z = 0

z = 0

z = 0

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

z+4/z-9 = 11/(-9) // - 11/(-9)

z+4/z-(11/(-9))-9 = 0

z+4/z+11/9-9 = 0

1*z^1+4*z^-1-70/9*z^0 = 0

(1*z^2-70/9*z^1+4*z^0)/(z^1) = 0 // * z^2

z^1*(1*z^2-70/9*z^1+4*z^0) = 0

z^1

z^2+(-70/9)*z+4 = 0

z^2+(-70/9)*z+4 = 0

DELTA = (-70/9)^2-(1*4*4)

DELTA = 3604/81

DELTA > 0

z = ((3604/81)^(1/2)-(-70/9))/(1*2) or z = (-(-70/9)-(3604/81)^(1/2))/(1*2)

z = ((3604/81)^(1/2)+70/9)/2 or z = (70/9-(3604/81)^(1/2))/2

z in { (70/9-(3604/81)^(1/2))/2, ((3604/81)^(1/2)+70/9)/2} 

z in { (70/9-(3604/81)^(1/2))/2, ((3604/81)^(1/2)+70/9)/2 }

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