Prove that if x≠0 then if y= 3x^2+2y/x^2+2 then y=3

  • Thread starter bean29
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  • #1
bean29
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suppose that x and y are real numbers. Prove that if x≠0 then if y= 3x^2+2y/x^2+2 then y=3
 

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  • #2
mathman
Science Advisor
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y(1-2/x2) = 3x2 + 2

y = (3x4 + 2x2)/(x2-2)

Doesn't look constant.
 
  • #3
rubi
Science Advisor
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It looks like he wanted to write
[tex]y = \frac{3x^2+2y}{x^2+2}[/tex].
Then it works out:
[tex]y x^2 + 2y = 3x^2 + 2y \Leftrightarrow y x^2 = 3 x^2 \Leftrightarrow y = 3[/tex]
 
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  • #4
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This is not an acceptable way to ask for help at homework problems. In addition, it is in the wrong forum.
 

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