2=(-10/x)-(5/x^2)

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Solution for 2=(-10/x)-(5/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)

2 = -10/x-(5/(x^2)) // + -10/x-(5/(x^2))

5/(x^2)-(-10/x)+2 = 0

10*x^-1+5/(x^2)+2 = 0

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

t_1 = x^-1

5*t_1^2+10*t_1^1+2 = 0

5*t_1^2+10*t_1+2 = 0

DELTA = 10^2-(2*4*5)

DELTA = 60

DELTA > 0

t_1 = (60^(1/2)-10)/(2*5) or t_1 = (-60^(1/2)-10)/(2*5)

t_1 = (2*15^(1/2)-10)/10 or t_1 = (-2*15^(1/2)-10)/10

t_1 = (-2*15^(1/2)-10)/10

x^-1-((-2*15^(1/2)-10)/10) = 0

1*x^-1 = (-2*15^(1/2)-10)/10 // : 1

x^-1 = (-2*15^(1/2)-10)/10

-1 < 0

1/(x^1) = (-2*15^(1/2)-10)/10 // * x^1

1 = ((-2*15^(1/2)-10)/10)*x^1 // : (-2*15^(1/2)-10)/10

10*(-2*15^(1/2)-10)^-1 = x^1

x = 10*(-2*15^(1/2)-10)^-1

t_1 = (2*15^(1/2)-10)/10

x^-1-((2*15^(1/2)-10)/10) = 0

1*x^-1 = (2*15^(1/2)-10)/10 // : 1

x^-1 = (2*15^(1/2)-10)/10

-1 < 0

1/(x^1) = (2*15^(1/2)-10)/10 // * x^1

1 = ((2*15^(1/2)-10)/10)*x^1 // : (2*15^(1/2)-10)/10

10*(2*15^(1/2)-10)^-1 = x^1

x = 10*(2*15^(1/2)-10)^-1

x in { 10*(-2*15^(1/2)-10)^-1, 10*(2*15^(1/2)-10)^-1 }

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