x^2/x+3=9/x+3

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Solution for x^2/x+3=9/x+3 equation: 


D( x )

x = 0

x = 0

x = 0

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

(x^2)/x+3 = 9/x+3 // - 9/x+3

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

(x^2)/x-9*x^-1-3+3 = 0

1*x^1-9*x^-1 = 0

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

x^1*(1*x^2-9*x^0) = 0

x^1

x^2-9 = 0

x^2-9 = 0

DELTA = 0^2-(-9*1*4)

DELTA = 36

DELTA > 0

x = (36^(1/2)+0)/(1*2) or x = (0-36^(1/2))/(1*2)

x = 3 or x = -3

x in { -3, 3} 

x in { -3, 3 }

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