3/x+2/x-2-2/x^2

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Solution for 3/x+2/x-2-2/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)

3/x+2/x-(2/(x^2))-2 = 0

3/x+2/x-2*x^-2-2 = 0

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

t_1 = x^-1

5*t_1^1-2*t_1^2-2 = 0

5*t_1-2*t_1^2-2 = 0

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

DELTA = 9

DELTA > 0

t_1 = (9^(1/2)-5)/(-2*2) or t_1 = (-9^(1/2)-5)/(-2*2)

t_1 = 1/2 or t_1 = 2

t_1 = 1/2

x^-1-1/2 = 0

1*x^-1 = 1/2 // : 1

x^-1 = 1/2

-1 < 0

1/(x^1) = 1/2 // * x^1

1 = 1/2*x^1 // : 1/2

2 = x^1

x = 2

t_1 = 2

x^-1-2 = 0

1*x^-1 = 2 // : 1

x^-1 = 2

-1 < 0

1/(x^1) = 2 // * x^1

1 = 2*x^1 // : 2

1/2 = x^1

x = 1/2

x in { 2, 1/2 }

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