x^2-16/x-4=x+4

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Solution for x^2-16/x-4=x+4 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

x^2-x-(16/x)-4-4 = 0

x^2-x-16*x^-1-4-4 = 0

1*x^2-1*x^1-16*x^-1-8*x^0 = 0

(1*x^3-1*x^2-8*x^1-16*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^3-1*x^2-8*x^1-16*x^0) = 0

x^1

x^3-x^2-8*x-16 = 0

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

1

x = 1

x^3-x^2-8*x-16 = -24

1

-1

x = -1

x^3-x^2-8*x-16 = -10

-1

2

x = 2

x^3-x^2-8*x-16 = -28

2

-2

x = -2

x^3-x^2-8*x-16 = -12

-2

4

x = 4

x^3-x^2-8*x-16 = 0

4

x-4

x^2+3*x+4

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

x-4

4*x^2-x^3

3*x^2-8*x-16

12*x-3*x^2

4*x-16

16-4*x

0

x^2+3*x+4 = 0

DELTA = 3^2-(1*4*4)

DELTA = -7

DELTA < 0

x in { 4} 

x = 4

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