4/3=x-3/x

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


D( x )

x = 0

x = 0

x = 0

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

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

3/x-x+4/3 = 0

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

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

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

x^1

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

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

DELTA = (4/3)^2-(-1*3*4)

DELTA = 124/9

DELTA > 0

x = ((124/9)^(1/2)-(4/3))/(-1*2) or x = (-(4/3)-(124/9)^(1/2))/(-1*2)

x = ((124/9)^(1/2)-4/3)/(-2) or x = ((124/9)^(1/2)+4/3)/2

x in { ((124/9)^(1/2)-4/3)/(-2), ((124/9)^(1/2)+4/3)/2} 

x in { ((124/9)^(1/2)-4/3)/(-2), ((124/9)^(1/2)+4/3)/2 }

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