x=-x+54/x+2

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Solution for x=-x+54/x+2 equation:


D( x )

x = 0

x = 0

x = 0

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

x = 54/x-x+2 // - 54/x-x+2

x+x-(54/x)-2 = 0

x+x-54*x^-1-2 = 0

2*x^1-54*x^-1-2*x^0 = 0

(2*x^2-2*x^1-54*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-2*x^1-54*x^0) = 0

x^1

2*x^2-2*x-54 = 0

2*x^2-2*x-54 = 0

DELTA = (-2)^2-(-54*2*4)

DELTA = 436

DELTA > 0

x = (436^(1/2)+2)/(2*2) or x = (2-436^(1/2))/(2*2)

x = (2*109^(1/2)+2)/4 or x = (2-2*109^(1/2))/4

x in { (2-2*109^(1/2))/4, (2*109^(1/2)+2)/4}

x in { (2-2*109^(1/2))/4, (2*109^(1/2)+2)/4 }

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