9/13+x=6/x+9

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Solution for 9/13+x=6/x+9 equation: 


D( x )

x = 0

x = 0

x = 0

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

x+9/13 = 6/x+9 // - 6/x+9

x-(6/x)+9/13-9 = 0

x-6*x^-1+9/13-9 = 0

1*x^1-6*x^-1-108/13*x^0 = 0

(1*x^2-108/13*x^1-6*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-108/13*x^1-6*x^0) = 0

x^1

x^2+(-108/13)*x-6 = 0

x^2+(-108/13)*x-6 = 0

DELTA = (-108/13)^2-(-6*1*4)

DELTA = 15720/169

DELTA > 0

x = ((15720/169)^(1/2)-(-108/13))/(1*2) or x = (-(-108/13)-(15720/169)^(1/2))/(1*2)

x = ((15720/169)^(1/2)+108/13)/2 or x = (108/13-(15720/169)^(1/2))/2

x in { (108/13-(15720/169)^(1/2))/2, ((15720/169)^(1/2)+108/13)/2} 

x in { (108/13-(15720/169)^(1/2))/2, ((15720/169)^(1/2)+108/13)/2 }

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