1/x-6/x^2=2/x^2

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Solution for 1/x-6/x^2=2/x^2 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)

1/x-(6/(x^2)) = 2/(x^2) // - 2/(x^2)

1/x-(6/(x^2))-(2/(x^2)) = 0

1/x-6*x^-2-2*x^-2 = 0

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

t_1 = x^-1

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

t_1-8*t_1^2 = 0

DELTA = 1^2-(-8*0*4)

DELTA = 1

DELTA > 0

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

t_1 = 0 or t_1 = 1/8

t_1 = 0

x^-1+0 = 0

x^-1 = 0

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

x^-1 = 0

x należy do O

t_1 = 1/8

x^-1-1/8 = 0

1*x^-1 = 1/8 // : 1

x^-1 = 1/8

-1 < 0

1/(x^1) = 1/8 // * x^1

1 = 1/8*x^1 // : 1/8

8 = x^1

x = 8

x = 8

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