z/10-10/z=0

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Solution for z/10-10/z=0 equation: 


D( z )

z = 0

z = 0

z = 0

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

z/10-(10/z) = 0

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

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

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

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

z^1

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

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

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

DELTA = 4

DELTA > 0

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

z = 10 or z = -10

z in { -10, 10} 

z in { -10, 10 }

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