Question

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

Answer 1

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

Answer 2

Substitute into the original equation or the derived?

Answer 3

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

Answer 4

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?

Answer 5

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

Answer 6

Thank you!

Answer 7

you're welcome