16x-1024/x2

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Solution for 16x-1024/x2 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)

16*x-(1024/(x^2)) = 0

16*x-1024*x^-2 = 0

16*x^1-1024*x^-2 = 0

(16*x^3-1024*x^0)/(x^2) = 0 // * x^4

x^2*(16*x^3-1024*x^0) = 0

x^2

16*x^3-1024 = 0

{ 1, -1, 2, -2, 4, -4, 8, -8, 16, -16, 32, -32, 64, -64, 128, -128, 256, -256, 512, -512, 1024, -1024 }

1

x = 1

16*x^3-1024 = -1008

1

-1

x = -1

16*x^3-1024 = -1040

-1

2

x = 2

16*x^3-1024 = -896

2

-2

x = -2

16*x^3-1024 = -1152

-2

4

x = 4

16*x^3-1024 = 0

4

x-4

16*x^2+64*x+256

16*x^3-1024

x-4

64*x^2-16*x^3

64*x^2-1024

256*x-64*x^2

256*x-1024

1024-256*x

0

16*x^2+64*x+256 = 0

DELTA = 64^2-(4*16*256)

DELTA = -12288

DELTA < 0

x in { 4}

x = 4

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