(18/x)=x-3

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Solution for (18/x)=x-3 equation: 


D( x )

x = 0

x = 0

x = 0

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

18/x = x-3 // - x-3

18/x-x+3 = 0

18*x^-1-1*x^1+3*x^0 = 0

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

x^1*(3*x^1-1*x^2+18*x^0) = 0

x^1

3*x-x^2+18 = 0

3*x-x^2+18 = 0

DELTA = 3^2-(-1*4*18)

DELTA = 81

DELTA > 0

x = (81^(1/2)-3)/(-1*2) or x = (-81^(1/2)-3)/(-1*2)

x = -3 or x = 6

x in { -3, 6} 

x in { -3, 6 }

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