1/X-1/9=4/9-2/3X

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Solution for 1/X-1/9=4/9-2/3X equation: 


D( X )

X = 0

X = 0

X = 0

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

1/X-(1/9) = 4/9-((2/3)*X) // - 4/9-((2/3)*X)

(2/3)*X+1/X-(1/9)-(4/9) = 0

(2/3)*X+1/X-1/9-4/9 = 0

2/3*X^1+1*X^-1-5/9*X^0 = 0

(2/3*X^2-5/9*X^1+1*X^0)/(X^1) = 0 // * X^2

X^1*(2/3*X^2-5/9*X^1+1*X^0) = 0

X^1

(2/3)*X^2+(-5/9)*X+1 = 0

(2/3)*X^2+(-5/9)*X+1 = 0

DELTA = (-5/9)^2-(1*4*(2/3))

DELTA = -191/81

DELTA < 0

X in { } 

X belongs to the empty set

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