11x-4x^2-7/x-3

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Solution for 11x-4x^2-7/x-3 equation: 


D( x )

x = 0

x = 0

x = 0

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

11*x-(4*x^2)-(7/x)-3 = 0

11*x-4*x^2-7*x^-1-3 = 0

11*x^1-4*x^2-7*x^-1-3*x^0 = 0

(11*x^2-4*x^3-3*x^1-7*x^0)/(x^1) = 0 // * x^2

x^1*(11*x^2-4*x^3-3*x^1-7*x^0) = 0

x^1

11*x^2-4*x^3-3*x-7 = 0

{ 1, -1, 7, -7 }

1

x = 1

11*x^2-4*x^3-3*x-7 = -3

1

-1

x = -1

11*x^2-4*x^3-3*x-7 = 11

-1

7

x = 7

11*x^2-4*x^3-3*x-7 = -861

7

-7

x = -7

11*x^2-4*x^3-3*x-7 = 1925

-7

{ 1/2, -1/2, 1/4, -1/4, -1/2, 1/2, -1/4, 1/4, 7/2, -7/2, 7/4, -7/4, -7/2, 7/2, -7/4, 7/4 }

1/2

x

1/2

11*x^2-4*x^3-3*x-7 = -6.25

1/2

-1/2

x

-1/2

11*x^2-4*x^3-3*x-7 = -2.25

-1/2

1/4

x

1/4

11*x^2-4*x^3-3*x-7 = -7.125

1/4

-1/4

x

-1/4

11*x^2-4*x^3-3*x-7 = -5.5

-1/4

-1/2

x

-1/2

11*x^2-4*x^3-3*x-7 = -2.25

-1/2

1/2

x

1/2

11*x^2-4*x^3-3*x-7 = -6.25

1/2

-1/4

x

-1/4

11*x^2-4*x^3-3*x-7 = -5.5

-1/4

1/4

x

1/4

11*x^2-4*x^3-3*x-7 = -7.125

1/4

7/2

x

7/2

11*x^2-4*x^3-3*x-7 = -54.25

7/2

-7/2

x

-7/2

11*x^2-4*x^3-3*x-7 = 309.75

-7/2

7/4

x

7/4

11*x^2-4*x^3-3*x-7 = 0

7/4

x-7/4

4*x-4*x^2+4

11*x^2-4*x^3-3*x-7

x-7/4

4*x^3-7*x^2

4*x^2-3*x-7

7*x-4*x^2

4*x-7

7-4*x

0

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

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

DELTA = 80

DELTA > 0

x = (80^(1/2)-4)/(-4*2) or x = (-80^(1/2)-4)/(-4*2)

x = (4*5^(1/2)-4)/(-8) or x = (-4*5^(1/2)-4)/(-8)

x in { (4*5^(1/2)-4)/(-8), (-4*5^(1/2)-4)/(-8), 7/4} 

x in { (4*5^(1/2)-4)/(-8), (-4*5^(1/2)-4)/(-8), 7/4 }

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