4/z=z/10

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Solution for 4/z=z/10 equation: 


D( z )

z = 0

z = 0

z = 0

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

4/z = z/10 // - z/10

4/z-(z/10) = 0

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

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

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

z^1

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

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

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

DELTA = 8/5

DELTA > 0

z = ((8/5)^(1/2)+0)/(2*(-1/10)) or z = (0-(8/5)^(1/2))/(2*(-1/10))

z = -5*(8/5)^(1/2) or z = 5*(8/5)^(1/2)

z in { -5*(8/5)^(1/2), 5*(8/5)^(1/2)} 

z in { -5*(8/5)^(1/2), 5*(8/5)^(1/2) }

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