(x^4-8x^2+16)/(x+2)

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Solution for (x^4-8x^2+16)/(x+2) equation: 


D( x )

x+2 = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

x in (-oo:-2) U (-2:+oo)

(x^4-(8*x^2)+16)/(x+2) = 0

(x^4-8*x^2+16)/(x+2) = 0

x^4-8*x^2+16 = 0

x^4-8*x^2+16 = 0

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

1

x = 1

x^4-8*x^2+16 = 9

1

-1

x = -1

x^4-8*x^2+16 = 9

-1

2

x = 2

x^4-8*x^2+16 = 0

2

x-2

x^3+2*x^2-4*x-8

x^4-8*x^2+16

x-2

2*x^3-x^4

2*x^3-8*x^2+16

4*x^2-2*x^3

16-4*x^2

4*x^2-8*x

16-8*x

8*x-16

0

x^3+2*x^2-4*x-8 = 0

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

1

x = 1

x^3+2*x^2-4*x-8 = -9

1

-1

x = -1

x^3+2*x^2-4*x-8 = -3

-1

2

x = 2

x^3+2*x^2-4*x-8 = 0

2

x-2

x^2+4*x+4

x^3+2*x^2-4*x-8

x-2

2*x^2-x^3

4*x^2-4*x-8

8*x-4*x^2

4*x-8

8-4*x

0

x^2+4*x+4 = 0

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

DELTA = 0

x = -4/(1*2)

x = -2 or x = -2

x in { -2, -2, 2, 2} 

(x+2)^2*(x-2)^2 = 0

(x+2)*(x-2)^2 = 0

( x+2 )

x+2 = 0 // - 2

x = -2

( x-2 )

x-2 = 0 // + 2

x = 2

x in { -2} 

x in { 2, 2 }

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