(3x^4-25x^2-18)/(x-3)

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Solution for (3x^4-25x^2-18)/(x-3) equation: 


D( x )

x-3 = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x in (-oo:3) U (3:+oo)

(3*x^4-(25*x^2)-18)/(x-3) = 0

(3*x^4-25*x^2-18)/(x-3) = 0

3*x^4-25*x^2-18 = 0

3*x^4-25*x^2-18 = 0

{ 1, -1, 2, -2, 3, -3, 6, -6, 9, -9, 18, -18 }

1

x = 1

3*x^4-25*x^2-18 = -40

1

-1

x = -1

3*x^4-25*x^2-18 = -40

-1

2

x = 2

3*x^4-25*x^2-18 = -70

2

-2

x = -2

3*x^4-25*x^2-18 = -70

-2

3

x = 3

3*x^4-25*x^2-18 = 0

3

x-3

3*x^3+9*x^2+2*x+6

3*x^4-25*x^2-18

x-3

9*x^3-3*x^4

9*x^3-25*x^2-18

27*x^2-9*x^3

2*x^2-18

6*x-2*x^2

6*x-18

18-6*x

0

3*x^3+9*x^2+2*x+6 = 0

{ 1, -1, 2, -2, 3, -3, 6, -6 }

1

x = 1

3*x^3+9*x^2+2*x+6 = 20

1

-1

x = -1

3*x^3+9*x^2+2*x+6 = 10

-1

2

x = 2

3*x^3+9*x^2+2*x+6 = 70

2

-2

x = -2

3*x^3+9*x^2+2*x+6 = 14

-2

3

x = 3

3*x^3+9*x^2+2*x+6 = 174

3

-3

x = -3

3*x^3+9*x^2+2*x+6 = 0

-3

x+3

3*x^2+2

3*x^3+9*x^2+2*x+6

x+3

-3*x^3-9*x^2

2*x+6

-2*x-6

0

3*x^2+2 = 0

DELTA = 0^2-(2*3*4)

DELTA = -24

DELTA < 0

x in { 3, -3} 

(x-3)*(x+3) = 0

x+3 = 0

x+3 = 0 // - 3

x = -3

x = -3

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