1/x=x+2

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Solution for 1/x=x+2 equation: 


D( x )

x = 0

x = 0

x = 0

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

1/x = x+2 // - x+2

1/x-x-2 = 0

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

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

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

x^1

1-x^2-2*x = 0

1-x^2-2*x = 0

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

DELTA = 8

DELTA > 0

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

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

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

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

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