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

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

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

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

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

x^2-x-54 = 0

x^2-x-54 = 0

x^2-x-54 = 0

DELTA = (-1)^2-(-54*1*4)

DELTA = 217

DELTA > 0

x = (217^(1/2)+1)/(1*2) or x = (1-217^(1/2))/(1*2)

x = (217^(1/2)+1)/2 or x = (1-217^(1/2))/2

(x-((1-217^(1/2))/2))*(x-((217^(1/2)+1)/2)) = 0

((x-((1-217^(1/2))/2))*(x-((217^(1/2)+1)/2)))/x = 0

((x-((1-217^(1/2))/2))*(x-((217^(1/2)+1)/2)))/x = 0 // * x

(x-((1-217^(1/2))/2))*(x-((217^(1/2)+1)/2)) = 0

( x-((1-217^(1/2))/2) )

x-((1-217^(1/2))/2) = 0 // + (1-217^(1/2))/2

x = (1-217^(1/2))/2

( x-((217^(1/2)+1)/2) )

x-((217^(1/2)+1)/2) = 0 // + (217^(1/2)+1)/2

x = (217^(1/2)+1)/2

x in { (1-217^(1/2))/2, (217^(1/2)+1)/2 }

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