1/3(x-4)^3=9

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Solution for 1/3(x-4)^3=9 equation: 


x in (-oo:+oo)

(1/3)*(x-4)^3 = 9 // - 9

(1/3)*(x-4)^3-9 = 0

1/3*(x-4)^3-9 = 0

1/3*(x-4)^3-9 = 0

1/3*x^3-4*x^2+16*x-91/3 = 0

1/3*x^3-4*x^2+16*x-91/3 = 0

(1/3)*x^3-4*x^2+16*x-91/3 = 0

(1/3)*x^3-4*x^2+16*x-91/3 = 0 // * 0

{ 1, -1, 7, -7, 13, -13, 91, -91 }

1

x = 1

x^3-12*x^2+48*x-91 = -54

1

-1

x = -1

x^3-12*x^2+48*x-91 = -152

-1

7

x = 7

x^3-12*x^2+48*x-91 = 0

7

x-7

x^2-5*x+13

x^3-12*x^2+48*x-91

x-7

7*x^2-x^3

48*x-5*x^2-91

5*x^2-35*x

13*x-91

91-13*x

0

x^2-5*x+13 = 0

DELTA = (-5)^2-(1*4*13)

DELTA = -27

DELTA < 0

x in { 7} 

x-7 = 0

x-7 = 0

x-7 = 0 // + 7

x = 7

x = 7

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