4x-256/x^2=0

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Solution for 4x-256/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)

4*x-(256/(x^2)) = 0

4*x-256*x^-2 = 0

4*x^1-256*x^-2 = 0

(4*x^3-256*x^0)/(x^2) = 0 // * x^4

x^2*(4*x^3-256*x^0) = 0

x^2

4*x^3-256 = 0

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

1

x = 1

4*x^3-256 = -252

1

-1

x = -1

4*x^3-256 = -260

-1

2

x = 2

4*x^3-256 = -224

2

-2

x = -2

4*x^3-256 = -288

-2

4

x = 4

4*x^3-256 = 0

4

x-4

4*x^2+16*x+64

4*x^3-256

x-4

16*x^2-4*x^3

16*x^2-256

64*x-16*x^2

64*x-256

256-64*x

0

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

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

DELTA = -768

DELTA < 0

x in { 4}

x = 4

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