5z-3/z-1

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Solution for 5z-3/z-1 equation: 


D( z )

z = 0

z = 0

z = 0

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

5*z-(3/z)-1 = 0

5*z-3*z^-1-1 = 0

5*z^1-3*z^-1-1*z^0 = 0

(5*z^2-1*z^1-3*z^0)/(z^1) = 0 // * z^2

z^1*(5*z^2-1*z^1-3*z^0) = 0

z^1

5*z^2-z-3 = 0

5*z^2-z-3 = 0

DELTA = (-1)^2-(-3*4*5)

DELTA = 61

DELTA > 0

z = (61^(1/2)+1)/(2*5) or z = (1-61^(1/2))/(2*5)

z = (61^(1/2)+1)/10 or z = (1-61^(1/2))/10

z in { (1-61^(1/2))/10, (61^(1/2)+1)/10} 

z in { (1-61^(1/2))/10, (61^(1/2)+1)/10 }

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