-2x+1/x

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Solution for -2x+1/x equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

1/x-2*x = 0

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

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

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

x^1

1-2*x^2 = 0

1-2*x^2 = 0

DELTA = 0^2-(-2*1*4)

DELTA = 8

DELTA > 0

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

x = (-2^(1/2))/2 or x = (2^(1/2))/2

x in { (-2^(1/2))/2, (2^(1/2))/2} 

x in { (-2^(1/2))/2, (2^(1/2))/2 }

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