1/z-5/14z

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Solution for 1/z-5/14z equation: 


D( z )

z = 0

z = 0

z = 0

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

1/z-((5/14)*z) = 0

(-5/14)*z+1/z = 0

1*z^-1-5/14*z^1 = 0

(1*z^0-5/14*z^2)/(z^1) = 0 // * z^2

z^1*(1*z^0-5/14*z^2) = 0

z^1

(-5/14)*z^2+1 = 0

(-5/14)*z^2+1 = 0

DELTA = 0^2-(1*4*(-5/14))

DELTA = 10/7

DELTA > 0

z = ((10/7)^(1/2)+0)/(2*(-5/14)) or z = (0-(10/7)^(1/2))/(2*(-5/14))

z = -7/5*(10/7)^(1/2) or z = 7/5*(10/7)^(1/2)

z in { -7/5*(10/7)^(1/2), 7/5*(10/7)^(1/2)} 

z in { -7/5*(10/7)^(1/2), 7/5*(10/7)^(1/2) }

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