zeesbrat3
  • zeesbrat3
For the curve given by 4x^2+y^2=48+2xy, find the positive y-coordinate given that the x-coordinate is 2.
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
Start off by substituting 2 for x, then you'll have a quadratic equation in one variable to solve
zeesbrat3
  • zeesbrat3
Substitute into the original equation or the derived?
anonymous
  • anonymous
I would think the original Did you derive the equation above?

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zeesbrat3
  • zeesbrat3
Yes, I did. However, when I plugged it into the original, I got y = -4 and 8. So (2,8) would be the positive y coordinate given that the x-coordinate is 2?
anonymous
  • anonymous
I got y = 8 as positive using the equation above, so then yes the point is (2, 8)
zeesbrat3
  • zeesbrat3
Thank you!
anonymous
  • anonymous
you're welcome

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