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

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

1/6*x^0-5/8*x^1-1*x^-1 = 0

(1/6*x^1-5/8*x^2-1*x^0)/(x^1) = 0 // * x^2

x^1*(1/6*x^1-5/8*x^2-1*x^0) = 0

x^1

(-5/8)*x^2+(1/6)*x-1 = 0

(-5/8)*x^2+(1/6)*x-1 = 0

DELTA = (1/6)^2-(-1*4*(-5/8))

DELTA = -89/36

DELTA < 0

x in { } 

x belongs to the empty set

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