(7x^3-31x^2+33x-9)/(x-3)

Solution for (7x^3-31x^2+33x-9)/(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)

(7*x^3-(31*x^2)+33*x-9)/(x-3) = 0

(7*x^3-31*x^2+33*x-9)/(x-3) = 0

7*x^3-31*x^2+33*x-9 = 0

7*x^3-31*x^2+33*x-9 = 0

{ 1, -1, 3, -3, 9, -9 }

1

x = 1

7*x^3-31*x^2+33*x-9 = 0

1

x-1

7*x^2-24*x+9

7*x^3-31*x^2+33*x-9

x-1

7*x^2-7*x^3

33*x-24*x^2-9

24*x^2-24*x

9*x-9

9-9*x

0

7*x^2-24*x+9 = 0

DELTA = (-24)^2-(4*7*9)

DELTA = 324

DELTA > 0

x = (324^(1/2)+24)/(2*7) or x = (24-324^(1/2))/(2*7)

x = 3 or x = 3/7

x in { 3/7, 3, 1} 

(x-3/7)*(x-3)*(x-1) = 0

(x-3/7)*(x-1) = 0

( x-1 )

x-1 = 0 // + 1

x = 1

( x-3/7 )

x-3/7 = 0 // + 3/7

x = 3/7

x in { 1, 3/7 }