-7+18/x=x

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Solution for -7+18/x=x equation: 


D( x )

x = 0

x = 0

x = 0

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

18/x-7 = x // - x

18/x-x-7 = 0

18*x^-1-1*x^1-7*x^0 = 0

(18*x^0-1*x^2-7*x^1)/(x^1) = 0 // * x^2

x^1*(18*x^0-1*x^2-7*x^1) = 0

x^1

18-x^2-7*x = 0

18-x^2-7*x = 0

DELTA = (-7)^2-(-1*4*18)

DELTA = 121

DELTA > 0

x = (121^(1/2)+7)/(-1*2) or x = (7-121^(1/2))/(-1*2)

x = -9 or x = 2

x in { -9, 2} 

x in { -9, 2 }

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