4x^2-6x+4/x-2

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Solution for 4x^2-6x+4/x-2 equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

4*x^2-(6*x)+4/x-2 = 0

4*x^2-6*x+4/x-2 = 0

4*x^2-6*x^1+4*x^-1-2*x^0 = 0

(4*x^3-6*x^2-2*x^1+4*x^0)/(x^1) = 0 // * x^2

x^1*(4*x^3-6*x^2-2*x^1+4*x^0) = 0

x^1

4*x^3-6*x^2-2*x+4 = 0

{ 1, -1, 2, -2, 4, -4 }

1

x = 1

4*x^3-6*x^2-2*x+4 = 0

1

x-1

4*x^2-2*x-4

4*x^3-6*x^2-2*x+4

x-1

4*x^2-4*x^3

4-2*x^2-2*x

2*x^2-2*x

4-4*x

4*x-4

0

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

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

DELTA = 68

DELTA > 0

x = (68^(1/2)+2)/(2*4) or x = (2-68^(1/2))/(2*4)

x = (2*17^(1/2)+2)/8 or x = (2-2*17^(1/2))/8

x in { (2-2*17^(1/2))/8, (2*17^(1/2)+2)/8, 1} 

x in { (2-2*17^(1/2))/8, (2*17^(1/2)+2)/8, 1 }

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