x+2/x-3=5/9

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Solution for x+2/x-3=5/9 equation: 


D( x )

x = 0

x = 0

x = 0

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

x+2/x-3 = 5/9 // - 5/9

x+2/x-(5/9)-3 = 0

x+2/x-5/9-3 = 0

1*x^1+2*x^-1-32/9*x^0 = 0

(1*x^2-32/9*x^1+2*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-32/9*x^1+2*x^0) = 0

x^1

x^2+(-32/9)*x+2 = 0

x^2+(-32/9)*x+2 = 0

DELTA = (-32/9)^2-(1*2*4)

DELTA = 376/81

DELTA > 0

x = ((376/81)^(1/2)-(-32/9))/(1*2) or x = (-(-32/9)-(376/81)^(1/2))/(1*2)

x = ((376/81)^(1/2)+32/9)/2 or x = (32/9-(376/81)^(1/2))/2

x in { (32/9-(376/81)^(1/2))/2, ((376/81)^(1/2)+32/9)/2} 

x in { (32/9-(376/81)^(1/2))/2, ((376/81)^(1/2)+32/9)/2 }

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