2/x=x-3/27

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Solution for 2/x=x-3/27 equation: 


D( x )

x = 0

x = 0

x = 0

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

2/x = x-(3/27) // - x-(3/27)

2/x-x+3/27 = 0

2*x^-1-1*x^1+1/9*x^0 = 0

(1/9*x^1-1*x^2+2*x^0)/(x^1) = 0 // * x^2

x^1*(1/9*x^1-1*x^2+2*x^0) = 0

x^1

(1/9)*x-x^2+2 = 0

(1/9)*x-x^2+2 = 0

DELTA = (1/9)^2-(-1*2*4)

DELTA = 649/81

DELTA > 0

x = ((649/81)^(1/2)-(1/9))/(-1*2) or x = (-(1/9)-(649/81)^(1/2))/(-1*2)

x = ((649/81)^(1/2)-1/9)/(-2) or x = ((649/81)^(1/2)+1/9)/2

x in { ((649/81)^(1/2)-1/9)/(-2), ((649/81)^(1/2)+1/9)/2} 

x in { ((649/81)^(1/2)-1/9)/(-2), ((649/81)^(1/2)+1/9)/2 }

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