6/z^2-8/z

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Solution for 6/z^2-8/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)

6/(z^2)-(8/z) = 0

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

6*z^-2-8*z^-1 = 0

t_1 = z^-1

6*t_1^2-8*t_1^1 = 0

6*t_1^2-8*t_1 = 0

DELTA = (-8)^2-(0*4*6)

DELTA = 64

DELTA > 0

t_1 = (64^(1/2)+8)/(2*6) or t_1 = (8-64^(1/2))/(2*6)

t_1 = 4/3 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 = 4/3

z^-1-4/3 = 0

1*z^-1 = 4/3 // : 1

z^-1 = 4/3

-1 < 0

1/(z^1) = 4/3 // * z^1

1 = 4/3*z^1 // : 4/3

3/4 = z^1

z = 3/4

z = 3/4

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