2/x+2=4/3x

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

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

DELTA = 44/3

DELTA > 0

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

x = -3/8*((44/3)^(1/2)-2) or x = 3/8*((44/3)^(1/2)+2)

x in { -3/8*((44/3)^(1/2)-2), 3/8*((44/3)^(1/2)+2)} 

x in { -3/8*((44/3)^(1/2)-2), 3/8*((44/3)^(1/2)+2) }

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