4x^3+12x^2-19x-12/2x-3

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Solution for 4x^3+12x^2-19x-12/2x-3 equation:


x in (-oo:+oo)

4*x^3+12*x^2-(19*x)-((12/2)*x)-3 = 0

4*x^3+12*x^2-19*x-6*x-3 = 0

4*x^3+12*x^2-25*x-3 = 0

{ 1, -1, 3, -3 }

1

x = 1

4*x^3+12*x^2-25*x-3 = -12

1

-1

x = -1

4*x^3+12*x^2-25*x-3 = 30

-1

3

x = 3

4*x^3+12*x^2-25*x-3 = 138

3

-3

x = -3

4*x^3+12*x^2-25*x-3 = 72

-3

{ 1/2, -1/2, 1/4, -1/4, -1/2, 1/2, -1/4, 1/4, 3/2, -3/2, 3/4, -3/4, -3/2, 3/2, -3/4, 3/4 }

1/2

x

1/2

4*x^3+12*x^2-25*x-3 = -12

1/2

-1/2

x

-1/2

4*x^3+12*x^2-25*x-3 = 12

-1/2

1/4

x

1/4

4*x^3+12*x^2-25*x-3 = -8.4375

1/4

-1/4

x

-1/4

4*x^3+12*x^2-25*x-3 = 3.9375

-1/4

-1/2

x

-1/2

4*x^3+12*x^2-25*x-3 = 12

-1/2

1/2

x

1/2

4*x^3+12*x^2-25*x-3 = -12

1/2

-1/4

x

-1/4

4*x^3+12*x^2-25*x-3 = 3.9375

-1/4

1/4

x

1/4

4*x^3+12*x^2-25*x-3 = -8.4375

1/4

3/2

x

3/2

4*x^3+12*x^2-25*x-3 = 0

3/2

x-3/2

4*x^2+18*x+2

4*x^3+12*x^2-25*x-3

x-3/2

6*x^2-4*x^3

18*x^2-25*x-3

27*x-18*x^2

2*x-3

3-2*x

0

4*x^2+18*x+2 = 0

DELTA = 18^2-(2*4*4)

DELTA = 292

DELTA > 0

x = (292^(1/2)-18)/(2*4) or x = (-292^(1/2)-18)/(2*4)

x = (2*73^(1/2)-18)/8 or x = (-2*73^(1/2)-18)/8

x in { (-2*73^(1/2)-18)/8, (2*73^(1/2)-18)/8, 3/2}

x in { (-2*73^(1/2)-18)/8, (2*73^(1/2)-18)/8, 3/2 }

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