z-7/z+4=5/7

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Solution for z-7/z+4=5/7 equation: 


D( z )

z = 0

z = 0

z = 0

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

z-(7/z)+4 = 5/7 // - 5/7

z-(7/z)-(5/7)+4 = 0

z-7*z^-1-5/7+4 = 0

1*z^1-7*z^-1+23/7*z^0 = 0

(1*z^2+23/7*z^1-7*z^0)/(z^1) = 0 // * z^2

z^1*(1*z^2+23/7*z^1-7*z^0) = 0

z^1

z^2+(23/7)*z-7 = 0

z^2+(23/7)*z-7 = 0

DELTA = (23/7)^2-(-7*1*4)

DELTA = 1901/49

DELTA > 0

z = ((1901/49)^(1/2)-(23/7))/(1*2) or z = (-(23/7)-(1901/49)^(1/2))/(1*2)

z = ((1901/49)^(1/2)-23/7)/2 or z = (-((1901/49)^(1/2)+23/7))/2

z in { (-((1901/49)^(1/2)+23/7))/2, ((1901/49)^(1/2)-23/7)/2} 

z in { (-((1901/49)^(1/2)+23/7))/2, ((1901/49)^(1/2)-23/7)/2 }

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