The graphs of these two equations intersect in how many points? x^(2) +y ^ {2}=25 x^(2) -y ^ {2}=3

Question

The graphs of these two equations intersect in how many points?


`x^(2) +y ^ {2}=25`

`x^(2) -y ^ {2}=3`

Answer 1

They intersect 4 times.

Explanation:

When graphed, the first equation is a circle with a center resting at (0,0)

The second equation intersects the circle at (-3.7,3.3), (3.7,3.3), (3.7,-3.3), (-3.7,-3.3)