(x^2-36)/(x^3+5x^2+36)=0

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Solution for (x^2-36)/(x^3+5x^2+36)=0 equation: 


D( x )

x^3+5*x^2+36 = 0

x^3+5*x^2+36 = 0

x^3+5*x^2+36 = 0

x^3+5*x^2+36 = 0

{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 9, -9, 12, -12, 18, -18, 36, -36 }

1

x = 1

x^3+5*x^2+36 = 42

1

-1

x = -1

x^3+5*x^2+36 = 40

-1

2

x = 2

x^3+5*x^2+36 = 64

2

-2

x = -2

x^3+5*x^2+36 = 48

-2

3

x = 3

x^3+5*x^2+36 = 108

3

-3

x = -3

x^3+5*x^2+36 = 54

-3

4

x = 4

x^3+5*x^2+36 = 180

4

-4

x = -4

x^3+5*x^2+36 = 52

-4

6

x = 6

x^3+5*x^2+36 = 432

6

-6

x = -6

x^3+5*x^2+36 = 0

-6

x+6

x^2-x+6

x^3+5*x^2+36

x+6

-x^3-6*x^2

36-x^2

x^2+6*x

6*x+36

-6*x-36

0

x^2-x+6 = 0

DELTA = (-1)^2-(1*4*6)

DELTA = -23

DELTA < 0

x in { -6} 

x in (-oo:-6) U (-6:+oo)

(x^2-36)/(x^3+5*x^2+36) = 0

x^3+5*x^2+36 = 0

x^3+5*x^2+36 = 0

{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 9, -9, 12, -12, 18, -18, 36, -36 }

1

x = 1

x^3+5*x^2+36 = 42

1

-1

x = -1

x^3+5*x^2+36 = 40

-1

2

x = 2

x^3+5*x^2+36 = 64

2

-2

x = -2

x^3+5*x^2+36 = 48

-2

3

x = 3

x^3+5*x^2+36 = 108

3

-3

x = -3

x^3+5*x^2+36 = 54

-3

4

x = 4

x^3+5*x^2+36 = 180

4

-4

x = -4

x^3+5*x^2+36 = 52

-4

6

x = 6

x^3+5*x^2+36 = 432

6

-6

x = -6

x^3+5*x^2+36 = 0

-6

x+6

x^2-x+6

x^3+5*x^2+36

x+6

-x^3-6*x^2

36-x^2

x^2+6*x

6*x+36

-6*x-36

0

x^2-x+6 = 0

DELTA = (-1)^2-(1*4*6)

DELTA = -23

DELTA < 0

x in { -6} 

x+6 = 0

(x^2-36)/(x+6) = 0

1*x^2 = 36 // : 1

x^2 = 36

x^2 = 36 // ^ 1/2

abs(x) = 6

x = 6 or x = -6

x in { -6} 

x = 6

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