6x-5=(6/x)

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


D( x )

x = 0

x = 0

x = 0

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

6*x-5 = 6/x // - 6/x

6*x-(6/x)-5 = 0

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

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

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

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

x^1

6*x^2-5*x-6 = 0

6*x^2-5*x-6 = 0

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

DELTA = 169

DELTA > 0

x = (169^(1/2)+5)/(2*6) or x = (5-169^(1/2))/(2*6)

x = 3/2 or x = -2/3

x in { -2/3, 3/2} 

x in { -2/3, 3/2 }

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