3(1/x)=x+2

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Solution for 3(1/x)=x+2 equation: 


D( x )

x = 0

x = 0

x = 0

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

3*(1/x) = x+2 // - x+2

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

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

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

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

x^1

3-x^2-2*x = 0

3-x^2-2*x = 0

DELTA = (-2)^2-(-1*3*4)

DELTA = 16

DELTA > 0

x = (16^(1/2)+2)/(-1*2) or x = (2-16^(1/2))/(-1*2)

x = -3 or x = 1

x in { -3, 1} 

x in { -3, 1 }

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