Question

what is the maximum number of possible solutions for this system?

Answer 1

\[3x ^{2}+y ^{2}=64\]

Answer 2

\[x ^{2}+y=5\]

Answer 3

I believe it's 4.

Answer 4

2 real and 2 imaginary

Answer 5

how did you get that?

Answer 6

The degree will be 4 if you sub in (5-x^2) for y in the first equation.

Answer 7

the highest degree of the polynomial will tell you the number of roots

Answer 8

Is this for an algebra class?

Answer 9

precalculus

Answer 10

are the solutions where the ellipse and parabola intersect?

Answer 11

Yes, on the real plane