13/4x-3=3/x

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

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

DELTA = 48

DELTA > 0

x = (48^(1/2)+3)/(2*(13/4)) or x = (3-48^(1/2))/(2*(13/4))

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

x in { 2/13*(3-4*3^(1/2)), 2/13*(4*3^(1/2)+3)}

x in { 2/13*(3-4*3^(1/2)), 2/13*(4*3^(1/2)+3) }

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