-2x/x-1+x+3/x^2-1

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Solution for -2x/x-1+x+3/x^2-1 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)

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

1*x^1+3*x^-2-4*x^0 = 0

(1*x^3-4*x^2+3*x^0)/(x^2) = 0 // * x^4

x^2*(1*x^3-4*x^2+3*x^0) = 0

x^2

x^3-4*x^2+3 = 0

{ 1, -1, 3, -3 }

1

x = 1

x^3-4*x^2+3 = 0

1

x-1

x^2-3*x-3

x^3-4*x^2+3

x-1

x^2-x^3

3-3*x^2

3*x^2-3*x

3-3*x

3*x-3

0

x^2-3*x-3 = 0

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

DELTA = 21

DELTA > 0

x = (21^(1/2)+3)/(1*2) or x = (3-21^(1/2))/(1*2)

x = (21^(1/2)+3)/2 or x = (3-21^(1/2))/2

x in { (3-21^(1/2))/2, (21^(1/2)+3)/2, 1} 

x in { (3-21^(1/2))/2, (21^(1/2)+3)/2, 1 }

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