z+3/z-9=10/-7

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Solution for z+3/z-9=10/-7 equation: 


D( z )

z = 0

z = 0

z = 0

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

z+3/z-9 = 10/(-7) // - 10/(-7)

z+3/z-(10/(-7))-9 = 0

z+3/z+10/7-9 = 0

1*z^1+3*z^-1-53/7*z^0 = 0

(1*z^2-53/7*z^1+3*z^0)/(z^1) = 0 // * z^2

z^1*(1*z^2-53/7*z^1+3*z^0) = 0

z^1

z^2+(-53/7)*z+3 = 0

z^2+(-53/7)*z+3 = 0

DELTA = (-53/7)^2-(1*3*4)

DELTA = 2221/49

DELTA > 0

z = ((2221/49)^(1/2)-(-53/7))/(1*2) or z = (-(-53/7)-(2221/49)^(1/2))/(1*2)

z = ((2221/49)^(1/2)+53/7)/2 or z = (53/7-(2221/49)^(1/2))/2

z in { (53/7-(2221/49)^(1/2))/2, ((2221/49)^(1/2)+53/7)/2} 

z in { (53/7-(2221/49)^(1/2))/2, ((2221/49)^(1/2)+53/7)/2 }

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