5x+5/x-3=120/x^2-9+5x-5/x+3

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Solution for 5x+5/x-3=120/x^2-9+5x-5/x+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)

5*x+5/x-3 = 5*x-(5/x)+120/(x^2)-9+3 // - 5*x-(5/x)+120/(x^2)-9+3

5*x-(5*x)+5/x+5/x-(120/(x^2))-3-3+9 = 0

5*x-5*x+5/x+5/x-120*x^-2-3-3+9 = 0

10*x^-1-120*x^-2+3 = 0

t_1 = x^-1

10*t_1^1-120*t_1^2+3 = 0

10*t_1-120*t_1^2+3 = 0

DELTA = 10^2-(-120*3*4)

DELTA = 1540

DELTA > 0

t_1 = (1540^(1/2)-10)/(-120*2) or t_1 = (-1540^(1/2)-10)/(-120*2)

t_1 = (2*385^(1/2)-10)/(-240) or t_1 = (-2*385^(1/2)-10)/(-240)

t_1 = (2*385^(1/2)-10)/(-240)

x^-1-((2*385^(1/2)-10)/(-240)) = 0

1*x^-1 = (2*385^(1/2)-10)/(-240) // : 1

x^-1 = (2*385^(1/2)-10)/(-240)

-1 < 0

1/(x^1) = (2*385^(1/2)-10)/(-240) // * x^1

1 = ((2*385^(1/2)-10)/(-240))*x^1 // : (2*385^(1/2)-10)/(-240)

-240*(2*385^(1/2)-10)^-1 = x^1

x = -240*(2*385^(1/2)-10)^-1

t_1 = (-2*385^(1/2)-10)/(-240)

x^-1-((-2*385^(1/2)-10)/(-240)) = 0

1*x^-1 = (-2*385^(1/2)-10)/(-240) // : 1

x^-1 = (-2*385^(1/2)-10)/(-240)

-1 < 0

1/(x^1) = (-2*385^(1/2)-10)/(-240) // * x^1

1 = ((-2*385^(1/2)-10)/(-240))*x^1 // : (-2*385^(1/2)-10)/(-240)

-240*(-2*385^(1/2)-10)^-1 = x^1

x = -240*(-2*385^(1/2)-10)^-1

x in { -240*(2*385^(1/2)-10)^-1, -240*(-2*385^(1/2)-10)^-1 }

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