x^3-3x=64+1/64

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Solution for x^3-3x=64+1/64 equation:


x in (-oo:+oo)

x^3-(3*x) = 1/64+64 // - 1/64+64

x^3-(3*x)-(1/64)-64 = 0

x^3-3*x-1/64-64 = 0

x^3-3*x-4097/64 = 0

x^3-3*x-4097/64 = 0 // * 0

{ 1, -1, 17, -17, 241, -241, 4097, -4097 }

1

x = 1

64*x^3-192*x-4097 = -4225

1

-1

x = -1

64*x^3-192*x-4097 = -3969

-1

17

x = 17

64*x^3-192*x-4097 = 307071

17

-17

x = -17

64*x^3-192*x-4097 = -315265

-17

241

x = 241

64*x^3-192*x-4097 = 895790975

241

-241

x = -241

64*x^3-192*x-4097 = -895799169

-241

4097

x = 4097

64*x^3-192*x-4097 = 4401267732351

4097

-4097

x = -4097

64*x^3-192*x-4097 = -4401267740545

-4097

{ 1/2, -1/2, 1/4, -1/4, 1/8, -1/8, 1/16, -1/16, 1/32, -1/32, 1/64, -1/64, -1/2, 1/2, -1/4, 1/4, -1/8, 1/8, -1/16, 1/16, -1/32, 1/32, -1/64, 1/64, 17/2, -17/2, 17/4, -17/4, 17/8, -17/8, 17/16, -17/16, 17/32, -17/32, 17/64, -17/64, -17/2, 17/2, -17/4, 17/4, -17/8, 17/8, -17/16, 17/16, -17/32, 17/32, -17/64, 17/64, 241/2, -241/2, 241/4, -241/4, 241/8, -241/8, 241/16, -241/16, 241/32, -241/32, 241/64, -241/64, -241/2, 241/2, -241/4, 241/4, -241/8, 241/8, -241/16, 241/16, -241/32, 241/32, -241/64, 241/64, 4097/2, -4097/2, 4097/4, -4097/4, 4097/8, -4097/8, 4097/16, -4097/16, 4097/32, -4097/32, 4097/64, -4097/64, -4097/2, 4097/2, -4097/4, 4097/4, -4097/8, 4097/8, -4097/16, 4097/16, -4097/32, 4097/32, -4097/64, 4097/64 }

1/2

x

1/2

64*x^3-192*x-4097 = -4185

1/2

-1/2

x

-1/2

64*x^3-192*x-4097 = -4009

-1/2

1/4

x

1/4

64*x^3-192*x-4097 = -4144

1/4

-1/4

x

-1/4

64*x^3-192*x-4097 = -4050

-1/4

1/8

x

1/8

64*x^3-192*x-4097 = -4120.875

1/8

-1/8

x

-1/8

64*x^3-192*x-4097 = -4073.125

-1/8

1/16

x

1/16

64*x^3-192*x-4097 = -4108.984375

1/16

-1/16

x

-1/16

64*x^3-192*x-4097 = -4085.015625

-1/16

1/32

x

1/32

64*x^3-192*x-4097 = -4102.99804687

1/32

-1/32

x

-1/32

64*x^3-192*x-4097 = -4091.00195313

-1/32

1/64

x

1/64

64*x^3-192*x-4097 = -4099.99975586

1/64

-1/64

x

-1/64

64*x^3-192*x-4097 = -4094.00024414

-1/64

-1/2

x

-1/2

64*x^3-192*x-4097 = -4009

-1/2

1/2

x

1/2

64*x^3-192*x-4097 = -4185

1/2

-1/4

x

-1/4

64*x^3-192*x-4097 = -4050

-1/4

1/4

x

1/4

64*x^3-192*x-4097 = -4144

1/4

-1/8

x

-1/8

64*x^3-192*x-4097 = -4073.125

-1/8

1/8

x

1/8

64*x^3-192*x-4097 = -4120.875

1/8

-1/16

x

-1/16

64*x^3-192*x-4097 = -4085.015625

-1/16

1/16

x

1/16

64*x^3-192*x-4097 = -4108.984375

1/16

-1/32

x

-1/32

64*x^3-192*x-4097 = -4091.00195313

-1/32

1/32

x

1/32

64*x^3-192*x-4097 = -4102.99804687

1/32

-1/64

x

-1/64

64*x^3-192*x-4097 = -4094.00024414

-1/64

1/64

x

1/64

64*x^3-192*x-4097 = -4099.99975586

1/64

17/2

x

17/2

64*x^3-192*x-4097 = 33575

17/2

-17/2

x

-17/2

64*x^3-192*x-4097 = -41769

-17/2

17/4

x

17/4

64*x^3-192*x-4097 = 0

17/4

x-17/4

64*x^2+272*x+964

64*x^3-192*x-4097

x-17/4

272*x^2-64*x^3

272*x^2-192*x-4097

1156*x-272*x^2

964*x-4097

4097-964*x

0

64*x^2+272*x+964 = 0

DELTA = 272^2-(4*64*964)

DELTA = -172800

DELTA < 0

x in { 17/4}

x = 17/4

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