9z-5/z-7

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Solution for 9z-5/z-7 equation: 


D( z )

z = 0

z = 0

z = 0

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

9*z-(5/z)-7 = 0

9*z-5*z^-1-7 = 0

9*z^1-5*z^-1-7*z^0 = 0

(9*z^2-7*z^1-5*z^0)/(z^1) = 0 // * z^2

z^1*(9*z^2-7*z^1-5*z^0) = 0

z^1

9*z^2-7*z-5 = 0

9*z^2-7*z-5 = 0

DELTA = (-7)^2-(-5*4*9)

DELTA = 229

DELTA > 0

z = (229^(1/2)+7)/(2*9) or z = (7-229^(1/2))/(2*9)

z = (229^(1/2)+7)/18 or z = (7-229^(1/2))/18

z in { (7-229^(1/2))/18, (229^(1/2)+7)/18} 

z in { (7-229^(1/2))/18, (229^(1/2)+7)/18 }

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