4/x^2-8/x

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Solution for 4/x^2-8/x equation: 


D( x )

x = 0

x^2 = 0

x = 0

x = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

4/(x^2)-(8/x) = 0

4/(x^2)-8*x^-1 = 0

4*x^-2-8*x^-1 = 0

t_1 = x^-1

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

4*t_1^2-8*t_1 = 0

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

DELTA = 64

DELTA > 0

t_1 = (64^(1/2)+8)/(2*4) or t_1 = (8-64^(1/2))/(2*4)

t_1 = 2 or t_1 = 0

t_1 = 0

x^-1+0 = 0

x^-1 = 0

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

x^-1 = 0

x należy do O

t_1 = 2

x^-1-2 = 0

1*x^-1 = 2 // : 1

x^-1 = 2

-1 < 0

1/(x^1) = 2 // * x^1

1 = 2*x^1 // : 2

1/2 = x^1

x = 1/2

x = 1/2

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