Can you help me prove if true or false please:
True or False? Every system of two conic equations whose xy-term is nonexistent has at most 4 points of intersection. graph is not a proof.
Thanks!
Hello, Anemori!
I have a rather sloppy proof . . .
True or False?
Every system of two conic equations whose xy-term is nonexistent
has at most 4 points of intersection. . . True!
We have two conic equations: .
Solve [1] for
. . Quadratic Formula: .
Substitute into [2]:
. . .
This simplifies to a quartic in . . . which has at most 4 roots.