3x-5/x-5=-4/3

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Solution for 3x-5/x-5=-4/3 equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x-(5/x)-5 = -4/3 // + -4/3

3*x-(5/x)-(-4/3)-5 = 0

3*x-5*x^-1+4/3-5 = 0

3*x^1-5*x^-1-11/3*x^0 = 0

(3*x^2-11/3*x^1-5*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^2-11/3*x^1-5*x^0) = 0

x^1

3*x^2+(-11/3)*x-5 = 0

3*x^2+(-11/3)*x-5 = 0

DELTA = (-11/3)^2-(-5*3*4)

DELTA = 661/9

DELTA > 0

x = ((661/9)^(1/2)-(-11/3))/(2*3) or x = (-(-11/3)-(661/9)^(1/2))/(2*3)

x = ((661/9)^(1/2)+11/3)/6 or x = (11/3-(661/9)^(1/2))/6

x in { (11/3-(661/9)^(1/2))/6, ((661/9)^(1/2)+11/3)/6} 

x in { (11/3-(661/9)^(1/2))/6, ((661/9)^(1/2)+11/3)/6 }

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