(5x^3-24x^2+15x+4)/(x-4)

Solution for (5x^3-24x^2+15x+4)/(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)

(5*x^3-(24*x^2)+15*x+4)/(x-4) = 0

(5*x^3-24*x^2+15*x+4)/(x-4) = 0

5*x^3-24*x^2+15*x+4 = 0

5*x^3-24*x^2+15*x+4 = 0

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

1

x = 1

5*x^3-24*x^2+15*x+4 = 0

1

x-1

5*x^2-19*x-4

5*x^3-24*x^2+15*x+4

x-1

5*x^2-5*x^3

15*x-19*x^2+4

19*x^2-19*x

4-4*x

4*x-4

0

5*x^2-19*x-4 = 0

DELTA = (-19)^2-(-4*4*5)

DELTA = 441

DELTA > 0

x = (441^(1/2)+19)/(2*5) or x = (19-441^(1/2))/(2*5)

x = 4 or x = -1/5

x in { -1/5, 4, 1} 

(x+1/5)*(x-4)*(x-1) = 0

(x+1/5)*(x-1) = 0

( x+1/5 )

x+1/5 = 0 // - 1/5

x = -1/5

( x-1 )

x-1 = 0 // + 1

x = 1

x in { -1/5, 1 }