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

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

4/3*x^1-4*x^-1+10/3*x^0 = 0

(4/3*x^2+10/3*x^1-4*x^0)/(x^1) = 0 // * x^2

x^1*(4/3*x^2+10/3*x^1-4*x^0) = 0

x^1

(4/3)*x^2+(10/3)*x-4 = 0

(4/3)*x^2+(10/3)*x-4 = 0

DELTA = (10/3)^2-(-4*4*(4/3))

DELTA = 292/9

DELTA > 0

x = ((292/9)^(1/2)-(10/3))/(2*(4/3)) or x = (-(10/3)-(292/9)^(1/2))/(2*(4/3))

x = 3/8*((292/9)^(1/2)-10/3) or x = -3/8*((292/9)^(1/2)+10/3)

x in { -3/8*((292/9)^(1/2)+10/3), 3/8*((292/9)^(1/2)-10/3)} 

x in { -3/8*((292/9)^(1/2)+10/3), 3/8*((292/9)^(1/2)-10/3) }

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