(x^3-13x+12)/(x+4)

Solution for (x^3-13x+12)/(x+4) equation:

D( x )

x+4 = 0

x+4 = 0

x+4 = 0

x+4 = 0 // - 4

x = -4

x in (-oo:-4) U (-4:+oo)

(x^3-(13*x)+12)/(x+4) = 0

(x^3-13*x+12)/(x+4) = 0

x^3-13*x+12 = 0

x^3-13*x+12 = 0

{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 12, -12 }

1

x = 1

x^3-13*x+12 = 0

1

x-1

x^2+x-12

x^3-13*x+12

x-1

x^2-x^3

x^2-13*x+12

x-x^2

12-12*x

12*x-12

0

x^2+x-12 = 0

DELTA = 1^2-(-12*1*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)-1)/(1*2) or x = (-49^(1/2)-1)/(1*2)

x = 3 or x = -4

x in { -4, 3, 1} 

(x+4)*(x-3)*(x-1) = 0

(x-3)*(x-1) = 0

( x-1 )

x-1 = 0 // + 1

x = 1

( x-3 )

x-3 = 0 // + 3

x = 3

x in { 1, 3 }