(v^3+6v^2+6v-9)/(v+3)

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Solution for (v^3+6v^2+6v-9)/(v+3) equation: 


D( v )

v+3 = 0

v+3 = 0

v+3 = 0

v+3 = 0 // - 3

v = -3

v in (-oo:-3) U (-3:+oo)

(v^3+6*v^2+6*v-9)/(v+3) = 0

v^3+6*v^2+6*v-9 = 0

v^3+6*v^2+6*v-9 = 0

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

1

v = 1

v^3+6*v^2+6*v-9 = 4

1

-1

v = -1

v^3+6*v^2+6*v-9 = -10

-1

3

v = 3

v^3+6*v^2+6*v-9 = 90

3

-3

v = -3

v^3+6*v^2+6*v-9 = 0

-3

v+3

v^2+3*v-3

v^3+6*v^2+6*v-9

v+3

-v^3-3*v^2

3*v^2+6*v-9

-3*v^2-9*v

-3*v-9

3*v+9

0

v^2+3*v-3 = 0

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

DELTA = 21

DELTA > 0

v = (21^(1/2)-3)/(1*2) or v = (-21^(1/2)-3)/(1*2)

v = (21^(1/2)-3)/2 or v = (-(21^(1/2)+3))/2

v in { (-(21^(1/2)+3))/2, (21^(1/2)-3)/2, -3} 

(v+(21^(1/2)+3)/2)*(v-((21^(1/2)-3)/2))*(v+3) = 0

(v+(21^(1/2)+3)/2)*(v-((21^(1/2)-3)/2)) = 0

( v+(21^(1/2)+3)/2 )

v+(21^(1/2)+3)/2 = 0 // - (21^(1/2)+3)/2

v = -((21^(1/2)+3)/2)

( v-((21^(1/2)-3)/2) )

v-((21^(1/2)-3)/2) = 0 // + (21^(1/2)-3)/2

v = (21^(1/2)-3)/2

v in { -((21^(1/2)+3)/2), (21^(1/2)-3)/2 }

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