13/x+14/x^2-20x^-3

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Solution for 13/x+14/x^2-20x^-3 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)

13/x+14/(x^2)-(20*x^-3) = 0

13/x+14/(x^2)-20*x^-3 = 0

13*x^-1+14*x^-2-20*x^-3 = 0

t_1 = x^-1

14*t_1^2-20*t_1^3+13*t_1^1 = 0

14*t_1^2-20*t_1^3+13*t_1 = 0

t_1*(14*t_1-20*t_1^2+13) = 0

14*t_1-20*t_1^2+13 = 0

DELTA = 14^2-(-20*4*13)

DELTA = 1236

DELTA > 0

t_1 = (1236^(1/2)-14)/(-20*2) or t_1 = (-1236^(1/2)-14)/(-20*2)

t_1 = (2*309^(1/2)-14)/(-40) or t_1 = (-2*309^(1/2)-14)/(-40)

t_1 = 0

t_1 = 0

t_1 = (2*309^(1/2)-14)/(-40)

x^-1-((2*309^(1/2)-14)/(-40)) = 0

1*x^-1 = (2*309^(1/2)-14)/(-40) // : 1

x^-1 = (2*309^(1/2)-14)/(-40)

-1 < 0

1/(x^1) = (2*309^(1/2)-14)/(-40) // * x^1

1 = ((2*309^(1/2)-14)/(-40))*x^1 // : (2*309^(1/2)-14)/(-40)

-40*(2*309^(1/2)-14)^-1 = x^1

x = -40*(2*309^(1/2)-14)^-1

t_1 = (-2*309^(1/2)-14)/(-40)

x^-1-((-2*309^(1/2)-14)/(-40)) = 0

1*x^-1 = (-2*309^(1/2)-14)/(-40) // : 1

x^-1 = (-2*309^(1/2)-14)/(-40)

-1 < 0

1/(x^1) = (-2*309^(1/2)-14)/(-40) // * x^1

1 = ((-2*309^(1/2)-14)/(-40))*x^1 // : (-2*309^(1/2)-14)/(-40)

-40*(-2*309^(1/2)-14)^-1 = x^1

x = -40*(-2*309^(1/2)-14)^-1

t_1 = 0

x^-1+0 = 0

x^-1 = 0

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

x^-1 = 0

x naleu017Cy do O

x in { -40*(2*309^(1/2)-14)^-1, -40*(-2*309^(1/2)-14)^-1 }

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