2x-6-32/x^2

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Solution for 2x-6-32/x^2 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-(32/(x^2))-6 = 0

2*x-32*x^-2-6 = 0

2*x^1-32*x^-2-6*x^0 = 0

(2*x^3-6*x^2-32*x^0)/(x^2) = 0 // * x^4

x^2*(2*x^3-6*x^2-32*x^0) = 0

x^2

2*x^3-6*x^2-32 = 0

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

1

x = 1

2*x^3-6*x^2-32 = -36

1

-1

x = -1

2*x^3-6*x^2-32 = -40

-1

2

x = 2

2*x^3-6*x^2-32 = -40

2

-2

x = -2

2*x^3-6*x^2-32 = -72

-2

4

x = 4

2*x^3-6*x^2-32 = 0

4

x-4

2*x^2+2*x+8

2*x^3-6*x^2-32

x-4

8*x^2-2*x^3

2*x^2-32

8*x-2*x^2

8*x-32

32-8*x

0

2*x^2+2*x+8 = 0

DELTA = 2^2-(2*4*8)

DELTA = -60

DELTA < 0

x in { 4} 

x = 4

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