4/5=z-2/z-6

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Solution for 4/5=z-2/z-6 equation: 


D( z )

z = 0

z = 0

z = 0

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

4/5 = z-(2/z)-6 // - z-(2/z)-6

2/z-z+4/5+6 = 0

2*z^-1-1*z^1+34/5*z^0 = 0

(34/5*z^1-1*z^2+2*z^0)/(z^1) = 0 // * z^2

z^1*(34/5*z^1-1*z^2+2*z^0) = 0

z^1

(34/5)*z-z^2+2 = 0

(34/5)*z-z^2+2 = 0

DELTA = (34/5)^2-(-1*2*4)

DELTA = 1356/25

DELTA > 0

z = ((1356/25)^(1/2)-(34/5))/(-1*2) or z = (-(34/5)-(1356/25)^(1/2))/(-1*2)

z = ((1356/25)^(1/2)-34/5)/(-2) or z = ((1356/25)^(1/2)+34/5)/2

z in { ((1356/25)^(1/2)-34/5)/(-2), ((1356/25)^(1/2)+34/5)/2} 

z in { ((1356/25)^(1/2)-34/5)/(-2), ((1356/25)^(1/2)+34/5)/2 }

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