x-11=-18/x

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Solution for x-11=-18/x equation: 


D( x )

x = 0

x = 0

x = 0

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

x-11 = -18/x // + -18/x

x-(-18/x)-11 = 0

x+18*x^-1-11 = 0

1*x^1+18*x^-1-11*x^0 = 0

(1*x^2-11*x^1+18*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-11*x^1+18*x^0) = 0

x^1

x^2-11*x+18 = 0

x^2-11*x+18 = 0

DELTA = (-11)^2-(1*4*18)

DELTA = 49

DELTA > 0

x = (49^(1/2)+11)/(1*2) or x = (11-49^(1/2))/(1*2)

x = 9 or x = 2

x in { 2, 9} 

x in { 2, 9 }

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