2x-11664/x^2=0

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Solution for 2x-11664/x^2=0 equation:


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

2*x-(11664/(x^2)) = 0

2*x-11664*x^-2 = 0

2*x^1-11664*x^-2 = 0

(2*x^3-11664*x^0)/(x^2) = 0 // * x^4

x^2*(2*x^3-11664*x^0) = 0

x^2

2*x^3-11664 = 0

{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 8, -8, 9, -9, 12, -12, 16, -16, 18, -18, 24, -24, 27, -27, 36, -36, 48, -48, 54, -54, 72, -72, 81, -81, 108, -108, 144, -144, 162, -162, 216, -216, 243, -243, 324, -324, 432, -432, 486, -486, 648, -648, 729, -729, 972, -972, 1296, -1296, 1458, -1458, 1944, -1944, 2916, -2916, 3888, -3888, 5832, -5832, 11664, -11664 }

1

x = 1

2*x^3-11664 = -11662

1

-1

x = -1

2*x^3-11664 = -11666

-1

2

x = 2

2*x^3-11664 = -11648

2

-2

x = -2

2*x^3-11664 = -11680

-2

3

x = 3

2*x^3-11664 = -11610

3

-3

x = -3

2*x^3-11664 = -11718

-3

4

x = 4

2*x^3-11664 = -11536

4

-4

x = -4

2*x^3-11664 = -11792

-4

6

x = 6

2*x^3-11664 = -11232

6

-6

x = -6

2*x^3-11664 = -12096

-6

8

x = 8

2*x^3-11664 = -10640

8

-8

x = -8

2*x^3-11664 = -12688

-8

9

x = 9

2*x^3-11664 = -10206

9

-9

x = -9

2*x^3-11664 = -13122

-9

12

x = 12

2*x^3-11664 = -8208

12

-12

x = -12

2*x^3-11664 = -15120

-12

16

x = 16

2*x^3-11664 = -3472

16

-16

x = -16

2*x^3-11664 = -19856

-16

18

x = 18

2*x^3-11664 = 0

18

x-18

2*x^2+36*x+648

2*x^3-11664

x-18

36*x^2-2*x^3

36*x^2-11664

648*x-36*x^2

648*x-11664

11664-648*x

0

2*x^2+36*x+648 = 0

DELTA = 36^2-(2*4*648)

DELTA = -3888

DELTA < 0

x in { 18}

x = 18

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