(x^3)-3*(x^2)-(27/4)*x+4

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Solution for (x^3)-3*(x^2)-(27/4)*x+4 equation: 


x in (-oo:+oo)

x^3-(3*x^2)-((27/4)*x)+4 = 0

x^3-3*x^2+(-27/4)*x+4 = 0

x^3-3*x^2+(-27/4)*x+4 = 0

x^3-3*x^2+(-27/4)*x+4 = 0 // * 0

{ 1, -1, 2, -2, 4, -4, 8, -8, 16, -16 }

1

x = 1

4*x^3-12*x^2-27*x+16 = -19

1

-1

x = -1

4*x^3-12*x^2-27*x+16 = 27

-1

2

x = 2

4*x^3-12*x^2-27*x+16 = -54

2

-2

x = -2

4*x^3-12*x^2-27*x+16 = -10

-2

4

x = 4

4*x^3-12*x^2-27*x+16 = -28

4

-4

x = -4

4*x^3-12*x^2-27*x+16 = -324

-4

8

x = 8

4*x^3-12*x^2-27*x+16 = 1080

8

-8

x = -8

4*x^3-12*x^2-27*x+16 = -2584

-8

16

x = 16

4*x^3-12*x^2-27*x+16 = 12896

16

-16

x = -16

4*x^3-12*x^2-27*x+16 = -19008

-16

{ 1/2, -1/2, 1/4, -1/4, -1/2, 1/2, -1/4, 1/4, 2/2, -2/2, 2/4, -2/4, -2/2, 2/2, -2/4, 2/4, 4/2, -4/2, 4/4, -4/4, -4/2, 4/2, -4/4, 4/4, 8/2, -8/2, 8/4, -8/4, -8/2, 8/2, -8/4, 8/4, 16/2, -16/2, 16/4, -16/4, -16/2, 16/2, -16/4, 16/4 }

1/2

x

1/2

4*x^3-12*x^2-27*x+16 = 0

1/2

x-1/2

4*x^2-10*x-32

4*x^3-12*x^2-27*x+16

x-1/2

2*x^2-4*x^3

16-10*x^2-27*x

10*x^2-5*x

16-32*x

32*x-16

0

4*x^2-10*x-32 = 0

DELTA = (-10)^2-(-32*4*4)

DELTA = 612

DELTA > 0

x = (612^(1/2)+10)/(2*4) or x = (10-612^(1/2))/(2*4)

x = (6*17^(1/2)+10)/8 or x = (10-6*17^(1/2))/8

x in { (10-6*17^(1/2))/8, (6*17^(1/2)+10)/8, 1/2} 

x in { (10-6*17^(1/2))/8, (6*17^(1/2)+10)/8, 1/2 }

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