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

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

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

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

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

x^-1+5*x^-2 = 0

t_1 = x^-1

5*t_1^2+1*t_1^1 = 0

5*t_1^2+t_1 = 0

DELTA = 1^2-(0*4*5)

DELTA = 1

DELTA > 0

t_1 = (1^(1/2)-1)/(2*5) or t_1 = (-1^(1/2)-1)/(2*5)

t_1 = 0 or t_1 = -1/5

t_1 = -1/5

x^-1+1/5 = 0

1*x^-1 = -1/5 // : 1

x^-1 = -1/5

-1 < 0

1/(x^1) = -1/5 // * x^1

1 = -1/5*x^1 // : -1/5

-5 = x^1

x = -5

t_1 = 0

x^-1+0 = 0

x^-1 = 0

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

x^-1 = 0

x należy do O

x = -5

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