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If x + 6/x = y + 6/y, is it necessarily true that x = y?

 Jun 25, 2020
 #1
avatar+134 
+2

No, beacuse if you take everything to the comon denominator, you get  (x^2+6)/x=(y^2+6)/y. Then if you mulytiply everything by xy you get yx^2+6y=xy^2+6x, so they dont have to be eaqual.

 Jun 25, 2020
 #2
avatar+30915 
+2

No, you coud have x = 6/y as well.

 Jun 25, 2020

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