13/3x-2=4/x

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Solution for 13/3x-2=4/x equation:


D( x )

x = 0

x = 0

x = 0

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

(13/3)*x-2 = 4/x // - 4/x

(13/3)*x-(4/x)-2 = 0

(13/3)*x-4*x^-1-2 = 0

13/3*x^1-4*x^-1-2*x^0 = 0

(13/3*x^2-2*x^1-4*x^0)/(x^1) = 0 // * x^2

x^1*(13/3*x^2-2*x^1-4*x^0) = 0

x^1

(13/3)*x^2-2*x-4 = 0

(13/3)*x^2-2*x-4 = 0

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

DELTA = 220/3

DELTA > 0

x = ((220/3)^(1/2)+2)/(2*(13/3)) or x = (2-(220/3)^(1/2))/(2*(13/3))

x = 3/26*((220/3)^(1/2)+2) or x = 3/26*(2-(220/3)^(1/2))

x in { 3/26*(2-(220/3)^(1/2)), 3/26*((220/3)^(1/2)+2)}

x in { 3/26*(2-(220/3)^(1/2)), 3/26*((220/3)^(1/2)+2) }

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