2x-5/x=x-2/3

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Solution for 2x-5/x=x-2/3 equation:


D( x )

x = 0

x = 0

x = 0

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

2*x-(5/x) = x-(2/3) // - x-(2/3)

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

2*x-x-5*x^-1+2/3 = 0

1*x^1-5*x^-1+2/3*x^0 = 0

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

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

x^1

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

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

DELTA = (2/3)^2-(-5*1*4)

DELTA = 184/9

DELTA > 0

x = ((184/9)^(1/2)-(2/3))/(1*2) or x = (-(2/3)-(184/9)^(1/2))/(1*2)

x = ((184/9)^(1/2)-2/3)/2 or x = (-((184/9)^(1/2)+2/3))/2

x in { (-((184/9)^(1/2)+2/3))/2, ((184/9)^(1/2)-2/3)/2}

x in { (-((184/9)^(1/2)+2/3))/2, ((184/9)^(1/2)-2/3)/2 }

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