(1/x^2)-2x-3

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Solution for (1/x^2)-2x-3 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)

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

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

1*x^-2-2*x^1-3*x^0 = 0

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

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

x^2

1-2*x^3-3*x^2 = 0

{ 1, -1 }

1

x = 1

1-2*x^3-3*x^2 = -4

1

-1

x = -1

1-2*x^3-3*x^2 = 0

-1

x+1

1-2*x^2-x

1-2*x^3-3*x^2

x+1

2*x^3+2*x^2

1-x^2

x^2+x

x+1

-x-1

0

1-2*x^2-x = 0

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

DELTA = 9

DELTA > 0

x = (9^(1/2)+1)/(-2*2) or x = (1-9^(1/2))/(-2*2)

x = -1 or x = 1/2

x in { -1, 1/2, -1} 

x in { -1, 1/2, -1 }

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