14/5x-x+1/x=5/6

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Solution for 14/5x-x+1/x=5/6 equation: 


D( x )

x = 0

x = 0

x = 0

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

(14/5)*x-x+1/x = 5/6 // - 5/6

(14/5)*x-x+1/x-(5/6) = 0

(14/5)*x-x+1/x-5/6 = 0

9/5*x^1+1*x^-1-5/6*x^0 = 0

(9/5*x^2-5/6*x^1+1*x^0)/(x^1) = 0 // * x^2

x^1*(9/5*x^2-5/6*x^1+1*x^0) = 0

x^1

(9/5)*x^2+(-5/6)*x+1 = 0

(9/5)*x^2+(-5/6)*x+1 = 0

DELTA = (-5/6)^2-(1*4*(9/5))

DELTA = -1171/180

DELTA < 0

x in { } 

x belongs to the empty set

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