5-(6/x)=x

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Solution for 5-(6/x)=x equation: 


D( x )

x = 0

x = 0

x = 0

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

5-(6/x) = x // - x

5-x-(6/x) = 0

5-x-6*x^-1 = 0

5*x^0-1*x^1-6*x^-1 = 0

(5*x^1-1*x^2-6*x^0)/(x^1) = 0 // * x^2

x^1*(5*x^1-1*x^2-6*x^0) = 0

x^1

5*x-x^2-6 = 0

5*x-x^2-6 = 0

DELTA = 5^2-(-6*(-1)*4)

DELTA = 1

DELTA > 0

x = (1^(1/2)-5)/(-1*2) or x = (-1^(1/2)-5)/(-1*2)

x = 2 or x = 3

x in { 2, 3} 

x in { 2, 3 }

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