(10/z)=(z/2)

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Solution for (10/z)=(z/2) equation: 


D( z )

z = 0

z = 0

z = 0

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

10/z = z/2 // - z/2

10/z-(z/2) = 0

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

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

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

z^1

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

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

DELTA = 0^2-(4*10*(-1/2))

DELTA = 20

DELTA > 0

z = (20^(1/2)+0)/(2*(-1/2)) or z = (0-20^(1/2))/(2*(-1/2))

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

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

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

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