3x^2-24/x=0

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Solution for 3x^2-24/x=0 equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

3*x^2-(24/x) = 0

3*x^2-24*x^-1 = 0

3*x^2-24*x^-1 = 0

(3*x^3-24*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^3-24*x^0) = 0

x^1

3*x^3-24 = 0

{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 8, -8, 12, -12, 24, -24 }

1

x = 1

3*x^3-24 = -21

1

-1

x = -1

3*x^3-24 = -27

-1

2

x = 2

3*x^3-24 = 0

2

x-2

3*x^2+6*x+12

3*x^3-24

x-2

6*x^2-3*x^3

6*x^2-24

12*x-6*x^2

12*x-24

24-12*x

0

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

DELTA = 6^2-(3*4*12)

DELTA = -108

DELTA < 0

x in { 2} 

x = 2

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