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Find all values of x that satisfy the equation
.\($\dfrac{x}{3} + 1 = \dfrac{x + 3}{x}$. \)

 Jul 5, 2018
edited by Dr.Amione  Jul 5, 2018
 #1
avatar+169 
+1

3 and -3

 Jul 5, 2018
 #2
avatar+99352 
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\(\dfrac{x}{3} + 1 = \dfrac{x + 3}{x}\\ \dfrac{x+3}{3} = \dfrac{x + 3}{x}\\ 3x*\dfrac{x+3}{3} = 3x*\dfrac{x + 3}{x}\\ x(x+3)= 3(x+3)\\ x^2+3x=3x+9\\ x^2=9\\ x=\pm 3\)

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 Jul 5, 2018
 #3
avatar+64 
+1

thx melody! can you solve this?\($\frac{2\sqrt[3]9}{1 + \sqrt[3]3 + \sqrt[3]9}.$\)

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 Jul 10, 2018

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