x/8-1/x^2

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Solution for x/8-1/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)

x/8-(1/(x^2)) = 0

x/8-x^-2 = 0

1/8*x^1-1*x^-2 = 0

(1/8*x^3-1*x^0)/(x^2) = 0 // * x^4

x^2*(1/8*x^3-1*x^0) = 0

x^2

(1/8)*x^3-1 = 0

(1/8)*x^3-1 = 0 // * 0

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

1

x = 1

x^3-8 = -7

1

-1

x = -1

x^3-8 = -9

-1

2

x = 2

x^3-8 = 0

2

x-2

x^2+2*x+4

x^3-8

x-2

2*x^2-x^3

2*x^2-8

4*x-2*x^2

4*x-8

8-4*x

0

x^2+2*x+4 = 0

DELTA = 2^2-(1*4*4)

DELTA = -12

DELTA < 0

x in { 2} 

x = 2

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