10/z-15/2z=8

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Solution for 10/z-15/2z=8 equation: 


D( z )

z = 0

z = 0

z = 0

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

10/z-((15/2)*z) = 8 // - 8

10/z-((15/2)*z)-8 = 0

(-15/2)*z+10/z-8 = 0

10*z^-1-15/2*z^1-8*z^0 = 0

(10*z^0-15/2*z^2-8*z^1)/(z^1) = 0 // * z^2

z^1*(10*z^0-15/2*z^2-8*z^1) = 0

z^1

(-15/2)*z^2-8*z+10 = 0

(-15/2)*z^2-8*z+10 = 0

DELTA = (-8)^2-(4*10*(-15/2))

DELTA = 364

DELTA > 0

z = (364^(1/2)+8)/(2*(-15/2)) or z = (8-364^(1/2))/(2*(-15/2))

z = (2*91^(1/2)+8)/(-15) or z = (8-2*91^(1/2))/(-15)

z in { (2*91^(1/2)+8)/(-15), (8-2*91^(1/2))/(-15)} 

z in { (2*91^(1/2)+8)/(-15), (8-2*91^(1/2))/(-15) }

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