2x-128/x^2-14

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Solution for 2x-128/x^2-14 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-(128/(x^2))-14 = 0

2*x-128*x^-2-14 = 0

2*x^1-128*x^-2-14*x^0 = 0

(2*x^3-14*x^2-128*x^0)/(x^2) = 0 // * x^4

x^2*(2*x^3-14*x^2-128*x^0) = 0

x^2

2*x^3-14*x^2-128 = 0

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

1

x = 1

2*x^3-14*x^2-128 = -140

1

-1

x = -1

2*x^3-14*x^2-128 = -144

-1

2

x = 2

2*x^3-14*x^2-128 = -168

2

-2

x = -2

2*x^3-14*x^2-128 = -200

-2

4

x = 4

2*x^3-14*x^2-128 = -224

4

-4

x = -4

2*x^3-14*x^2-128 = -480

-4

8

x = 8

2*x^3-14*x^2-128 = 0

8

x-8

2*x^2+2*x+16

2*x^3-14*x^2-128

x-8

16*x^2-2*x^3

2*x^2-128

16*x-2*x^2

16*x-128

128-16*x

0

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

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

DELTA = -124

DELTA < 0

x in { 8}

x = 8

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