1/x+6/x^2

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Solution for 1/x+6/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) = 0

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

t_1 = x^-1

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

6*t_1^2+t_1 = 0

DELTA = 1^2-(0*4*6)

DELTA = 1

DELTA > 0

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

t_1 = 0 or t_1 = -1/6

t_1 = -1/6

x^-1+1/6 = 0

1*x^-1 = -1/6 // : 1

x^-1 = -1/6

-1 < 0

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

1 = -1/6*x^1 // : -1/6

-6 = x^1

x = -6

t_1 = 0

x^-1+0 = 0

x^-1 = 0

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

x^-1 = 0

x naleu017Cy do O

x = -6

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