Question

Can you explain to me how I would find the intersection points for what I believe is a circle and hyperbola.

These are the equations.

y^2+x^2-16y+39=0
y^2-x^2-9=0

Thank you!

Answer 1

If you add the two equations, it will give you a quadratic equation in y only.
Solving the equation will give you the y-values needed to find the two intersection points.

Answer 2

@TeacupsAndMigranes are you there?

Answer 3

Yeah, sorry was looking for my calculator!

Answer 4

ok, would you like to try solving using the above help?

Answer 5

I figured it out! There's three intersections, so thank you(:

Answer 6

Good job!