1/x-7/x^2=44/x^3

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Solution for 1/x-7/x^2=44/x^3 equation: 


D( x )

x^3 = 0

x = 0

x^2 = 0

x^3 = 0

x^3 = 0

1*x^3 = 0 // : 1

x^3 = 0

x = 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-(7/(x^2)) = 44/(x^3) // - 44/(x^3)

1/x-(7/(x^2))-(44/(x^3)) = 0

1/x-7*x^-2-44*x^-3 = 0

x^-1-7*x^-2-44*x^-3 = 0

t_1 = x^-1

1*t_1^1-44*t_1^3-7*t_1^2 = 0

t_1-44*t_1^3-7*t_1^2 = 0

t_1*(1-44*t_1^2-7*t_1) = 0

1-44*t_1^2-7*t_1 = 0

DELTA = (-7)^2-(-44*1*4)

DELTA = 225

DELTA > 0

t_1 = (225^(1/2)+7)/(-44*2) or t_1 = (7-225^(1/2))/(-44*2)

t_1 = -1/4 or t_1 = 1/11

t_1 = 0

t_1 = 0

t_1 = -1/4

x^-1+1/4 = 0

1*x^-1 = -1/4 // : 1

x^-1 = -1/4

-1 < 0

1/(x^1) = -1/4 // * x^1

1 = -1/4*x^1 // : -1/4

-4 = x^1

x = -4

t_1 = 1/11

x^-1-1/11 = 0

1*x^-1 = 1/11 // : 1

x^-1 = 1/11

-1 < 0

1/(x^1) = 1/11 // * x^1

1 = 1/11*x^1 // : 1/11

11 = x^1

x = 11

t_1 = 0

x^-1+0 = 0

x^-1 = 0

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

x^-1 = 0

x naleu017Cy do O

x in { -4, 11 }

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