4/z-1=24/5z+4

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Solution for 4/z-1=24/5z+4 equation: 


D( z )

z = 0

z = 0

z = 0

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

4/z-1 = (24/5)*z+4 // - (24/5)*z+4

4/z-((24/5)*z)-4-1 = 0

(-24/5)*z+4/z-4-1 = 0

4*z^-1-24/5*z^1-5*z^0 = 0

(4*z^0-24/5*z^2-5*z^1)/(z^1) = 0 // * z^2

z^1*(4*z^0-24/5*z^2-5*z^1) = 0

z^1

(-24/5)*z^2-5*z+4 = 0

(-24/5)*z^2-5*z+4 = 0

DELTA = (-5)^2-(4*4*(-24/5))

DELTA = 509/5

DELTA > 0

z = ((509/5)^(1/2)+5)/(2*(-24/5)) or z = (5-(509/5)^(1/2))/(2*(-24/5))

z = -5/48*((509/5)^(1/2)+5) or z = -5/48*(5-(509/5)^(1/2))

z in { -5/48*((509/5)^(1/2)+5), -5/48*(5-(509/5)^(1/2))} 

z in { -5/48*((509/5)^(1/2)+5), -5/48*(5-(509/5)^(1/2)) }

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