(20/x)-(46/x^2)=2

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Solution for (20/x)-(46/x^2)=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)

20/x-(46/(x^2)) = 2 // - 2

20/x-(46/(x^2))-2 = 0

20/x-46*x^-2-2 = 0

20*x^-1-46*x^-2-2 = 0

t_1 = x^-1

20*t_1^1-46*t_1^2-2 = 0

20*t_1-46*t_1^2-2 = 0

DELTA = 20^2-(-46*(-2)*4)

DELTA = 32

DELTA > 0

t_1 = (32^(1/2)-20)/(-46*2) or t_1 = (-32^(1/2)-20)/(-46*2)

t_1 = (4*2^(1/2)-20)/(-92) or t_1 = (-4*2^(1/2)-20)/(-92)

t_1 = (4*2^(1/2)-20)/(-92)

x^-1-((4*2^(1/2)-20)/(-92)) = 0

1*x^-1 = (4*2^(1/2)-20)/(-92) // : 1

x^-1 = (4*2^(1/2)-20)/(-92)

-1 < 0

1/(x^1) = (4*2^(1/2)-20)/(-92) // * x^1

1 = ((4*2^(1/2)-20)/(-92))*x^1 // : (4*2^(1/2)-20)/(-92)

-92*(4*2^(1/2)-20)^-1 = x^1

x = -92*(4*2^(1/2)-20)^-1

t_1 = (-4*2^(1/2)-20)/(-92)

x^-1-((-4*2^(1/2)-20)/(-92)) = 0

1*x^-1 = (-4*2^(1/2)-20)/(-92) // : 1

x^-1 = (-4*2^(1/2)-20)/(-92)

-1 < 0

1/(x^1) = (-4*2^(1/2)-20)/(-92) // * x^1

1 = ((-4*2^(1/2)-20)/(-92))*x^1 // : (-4*2^(1/2)-20)/(-92)

-92*(-4*2^(1/2)-20)^-1 = x^1

x = -92*(-4*2^(1/2)-20)^-1

x in { -92*(4*2^(1/2)-20)^-1, -92*(-4*2^(1/2)-20)^-1 }

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