5/6-1/x=3x+8/6x

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Solution for 5/6-1/x=3x+8/6x equation: 


D( x )

x = 0

x = 0

x = 0

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

5/6-(1/x) = 3*x+(8/6)*x // - 3*x+(8/6)*x

5/6-(3*x)-((8/6)*x)-(1/x) = 0

(-4/3)*x-3*x-x^-1+5/6 = 0

5/6*x^0-13/3*x^1-1*x^-1 = 0

(5/6*x^1-13/3*x^2-1*x^0)/(x^1) = 0 // * x^2

x^1*(5/6*x^1-13/3*x^2-1*x^0) = 0

x^1

(-13/3)*x^2+(5/6)*x-1 = 0

(-13/3)*x^2+(5/6)*x-1 = 0

DELTA = (5/6)^2-(-1*4*(-13/3))

DELTA = -599/36

DELTA < 0

x in { } 

x belongs to the empty set

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