1-3/x=-2/x^2

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Solution for 1-3/x=-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)

1-(3/x) = -2/(x^2) // + -2/(x^2)

1-(3/x)-(-2/(x^2)) = 0

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

t_1 = x^-1

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

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

DELTA = (-3)^2-(1*2*4)

DELTA = 1

DELTA > 0

t_1 = (1^(1/2)+3)/(2*2) or t_1 = (3-1^(1/2))/(2*2)

t_1 = 1 or t_1 = 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 = 1

x^-1-1 = 0

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

x^-1 = 1

-1 < 0

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

1 = 1*x^1 // : 1

1 = x^1

x = 1

x in { 2, 1 }

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