z/z^2-2z-15

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Solution for z/z^2-2z-15 equation: 


D( z )

z^2 = 0

z^2 = 0

z^2 = 0

1*z^2 = 0 // : 1

z^2 = 0

z = 0

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

z/(z^2)-(2*z)-15 = 0

z/(z^2)-2*z-15 = 0

1*z^-1-2*z^1-15*z^0 = 0

(1*z^0-2*z^2-15*z^1)/(z^1) = 0 // * z^2

z^1*(1*z^0-2*z^2-15*z^1) = 0

z^1

1-2*z^2-15*z = 0

1-2*z^2-15*z = 0

DELTA = (-15)^2-(-2*1*4)

DELTA = 233

DELTA > 0

z = (233^(1/2)+15)/(-2*2) or z = (15-233^(1/2))/(-2*2)

z = (233^(1/2)+15)/(-4) or z = (15-233^(1/2))/(-4)

z in { (233^(1/2)+15)/(-4), (15-233^(1/2))/(-4)} 

z in { (233^(1/2)+15)/(-4), (15-233^(1/2))/(-4) }

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