For the curve given by 4x^2+y^2=48+2xy, find the positive y-coordinate given that the x-coordinate is 2.

Question

anonymous · Answer

Start off by substituting 2 for x, then you'll have a quadratic equation in one variable to solve

zeesbrat3 · Answer

Substitute into the original equation or the derived?

anonymous · Answer

I would think the original Did you derive the equation above?

zeesbrat3 · Answer

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 · Answer

I got y = 8 as positive using the equation above, so then yes the point is (2, 8)

zeesbrat3 · Answer

Thank you!

anonymous · Answer

you're welcome