2/3x-1=4/x+1

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Solution for 2/3x-1=4/x+1 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

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

DELTA = 44/3

DELTA > 0

x = ((44/3)^(1/2)+2)/(2*(2/3)) or x = (2-(44/3)^(1/2))/(2*(2/3))

x = 3/4*((44/3)^(1/2)+2) or x = 3/4*(2-(44/3)^(1/2))

x in { 3/4*(2-(44/3)^(1/2)), 3/4*((44/3)^(1/2)+2)} 

x in { 3/4*(2-(44/3)^(1/2)), 3/4*((44/3)^(1/2)+2) }

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