x+2/3=8/x-3

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Solution for x+2/3=8/x-3 equation:


D( x )

x = 0

x = 0

x = 0

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

x+2/3 = 8/x-3 // - 8/x-3

x-(8/x)+2/3+3 = 0

x-8*x^-1+2/3+3 = 0

1*x^1-8*x^-1+11/3*x^0 = 0

(1*x^2+11/3*x^1-8*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+11/3*x^1-8*x^0) = 0

x^1

x^2+(11/3)*x-8 = 0

x^2+(11/3)*x-8 = 0

DELTA = (11/3)^2-(-8*1*4)

DELTA = 409/9

DELTA > 0

x = ((409/9)^(1/2)-(11/3))/(1*2) or x = (-(11/3)-(409/9)^(1/2))/(1*2)

x = ((409/9)^(1/2)-11/3)/2 or x = (-((409/9)^(1/2)+11/3))/2

x in { (-((409/9)^(1/2)+11/3))/2, ((409/9)^(1/2)-11/3)/2}

x in { (-((409/9)^(1/2)+11/3))/2, ((409/9)^(1/2)-11/3)/2 }

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