(a^3-26a+60)/(a+6)

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Solution for (a^3-26a+60)/(a+6) equation:


D( a )

a+6 = 0

a+6 = 0

a+6 = 0

a+6 = 0 // - 6

a = -6

a in (-oo:-6) U (-6:+oo)

(a^3-(26*a)+60)/(a+6) = 0

(a^3-26*a+60)/(a+6) = 0

a^3-26*a+60 = 0

a^3-26*a+60 = 0

{ 1, -1, 2, -2, 3, -3, 4, -4, 5, -5, 6, -6, 10, -10, 12, -12, 15, -15, 20, -20, 30, -30, 60, -60 }

1

a = 1

a^3-26*a+60 = 35

1

-1

a = -1

a^3-26*a+60 = 85

-1

2

a = 2

a^3-26*a+60 = 16

2

-2

a = -2

a^3-26*a+60 = 104

-2

3

a = 3

a^3-26*a+60 = 9

3

-3

a = -3

a^3-26*a+60 = 111

-3

4

a = 4

a^3-26*a+60 = 20

4

-4

a = -4

a^3-26*a+60 = 100

-4

5

a = 5

a^3-26*a+60 = 55

5

-5

a = -5

a^3-26*a+60 = 65

-5

6

a = 6

a^3-26*a+60 = 120

6

-6

a = -6

a^3-26*a+60 = 0

-6

a+6

a^2-6*a+10

a^3-26*a+60

a+6

-a^3-6*a^2

60-6*a^2-26*a

6*a^2+36*a

10*a+60

-10*a-60

0

a^2-6*a+10 = 0

DELTA = (-6)^2-(1*4*10)

DELTA = -4

DELTA < 0

a in { -6}

a+6 = 0

1 = 0

a belongs to the empty set

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