1/3(3x-6)^3=9

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Solution for 1/3(3x-6)^3=9 equation:


x in (-oo:+oo)

(1/3)*(3*x-6)^3 = 9 // - 9

(1/3)*(3*x-6)^3-9 = 0

1/3*(3*x-6)^3-9 = 0

1/3*(3*x-6)^3-9 = 0

9*x^3-54*x^2+108*x-81 = 0

9*x^3-54*x^2+108*x-81 = 0

9*(x^3-6*x^2+12*x-9) = 0

x^3-6*x^2+12*x-9 = 0

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

1

x = 1

x^3-6*x^2+12*x-9 = -2

1

-1

x = -1

x^3-6*x^2+12*x-9 = -28

-1

3

x = 3

x^3-6*x^2+12*x-9 = 0

3

x-3

x^2-3*x+3

x^3-6*x^2+12*x-9

x-3

3*x^2-x^3

12*x-3*x^2-9

3*x^2-9*x

3*x-9

9-3*x

0

x^2-3*x+3 = 0

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

DELTA = -3

DELTA < 0

x in { 3}

9*(x-3) = 0

9*(x-3) = 0

x-3 = 0 // + 3

x = 3

x = 3

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