(9/z^2)-(6/z)

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Solution for (9/z^2)-(6/z) equation: 


D( z )

z^2 = 0

z = 0

z^2 = 0

z^2 = 0

1*z^2 = 0 // : 1

z^2 = 0

z = 0

z = 0

z = 0

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

9/(z^2)-(6/z) = 0

9/(z^2)-6*z^-1 = 0

9*z^-2-6*z^-1 = 0

t_1 = z^-1

9*t_1^2-6*t_1^1 = 0

9*t_1^2-6*t_1 = 0

DELTA = (-6)^2-(0*4*9)

DELTA = 36

DELTA > 0

t_1 = (36^(1/2)+6)/(2*9) or t_1 = (6-36^(1/2))/(2*9)

t_1 = 2/3 or t_1 = 0

t_1 = 0

z^-1+0 = 0

z^-1 = 0

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

z^-1 = 0

z naleu017Cy do O

t_1 = 2/3

z^-1-2/3 = 0

1*z^-1 = 2/3 // : 1

z^-1 = 2/3

-1 < 0

1/(z^1) = 2/3 // * z^1

1 = 2/3*z^1 // : 2/3

3/2 = z^1

z = 3/2

z = 3/2

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