13/3X-6=5/X-1

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Solution for 13/3X-6=5/X-1 equation:


D( X )

X = 0

X = 0

X = 0

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

(13/3)*X-6 = 5/X-1 // - 5/X-1

(13/3)*X-(5/X)-6+1 = 0

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

13/3*X^1-5*X^-1-5*X^0 = 0

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

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

X^1

(13/3)*X^2-5*X-5 = 0

(13/3)*X^2-5*X-5 = 0

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

DELTA = 335/3

DELTA > 0

X = ((335/3)^(1/2)+5)/(2*(13/3)) or X = (5-(335/3)^(1/2))/(2*(13/3))

X = 3/26*((335/3)^(1/2)+5) or X = 3/26*(5-(335/3)^(1/2))

X in { 3/26*(5-(335/3)^(1/2)), 3/26*((335/3)^(1/2)+5)}

X in { 3/26*(5-(335/3)^(1/2)), 3/26*((335/3)^(1/2)+5) }

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