x^2-216/x

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Solution for x^2-216/x equation:


D( x )

x = 0

x = 0

x = 0

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

x^2-(216/x) = 0

x^2-216*x^-1 = 0

1*x^2-216*x^-1 = 0

(1*x^3-216*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^3-216*x^0) = 0

x^1

x^3-216 = 0

{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 8, -8, 9, -9, 12, -12, 18, -18, 24, -24, 27, -27, 36, -36, 54, -54, 72, -72, 108, -108, 216, -216 }

1

x = 1

x^3-216 = -215

1

-1

x = -1

x^3-216 = -217

-1

2

x = 2

x^3-216 = -208

2

-2

x = -2

x^3-216 = -224

-2

3

x = 3

x^3-216 = -189

3

-3

x = -3

x^3-216 = -243

-3

4

x = 4

x^3-216 = -152

4

-4

x = -4

x^3-216 = -280

-4

6

x = 6

x^3-216 = 0

6

x-6

x^2+6*x+36

x^3-216

x-6

6*x^2-x^3

6*x^2-216

36*x-6*x^2

36*x-216

216-36*x

0

x^2+6*x+36 = 0

DELTA = 6^2-(1*4*36)

DELTA = -108

DELTA < 0

x in { 6}

x = 6

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