z+2/z-10=11/-9

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Solution for z+2/z-10=11/-9 equation: 


D( z )

z = 0

z = 0

z = 0

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

z+2/z-10 = 11/(-9) // - 11/(-9)

z+2/z-(11/(-9))-10 = 0

z+2/z+11/9-10 = 0

1*z^1+2*z^-1-79/9*z^0 = 0

(1*z^2-79/9*z^1+2*z^0)/(z^1) = 0 // * z^2

z^1*(1*z^2-79/9*z^1+2*z^0) = 0

z^1

z^2+(-79/9)*z+2 = 0

z^2+(-79/9)*z+2 = 0

DELTA = (-79/9)^2-(1*2*4)

DELTA = 5593/81

DELTA > 0

z = ((5593/81)^(1/2)-(-79/9))/(1*2) or z = (-(-79/9)-(5593/81)^(1/2))/(1*2)

z = ((5593/81)^(1/2)+79/9)/2 or z = (79/9-(5593/81)^(1/2))/2

z in { (79/9-(5593/81)^(1/2))/2, ((5593/81)^(1/2)+79/9)/2} 

z in { (79/9-(5593/81)^(1/2))/2, ((5593/81)^(1/2)+79/9)/2 }

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