Circle And Parabola Geometry

We are given two circles with the following equations: To solve this, we can expand both equations.
Expanding Equation 1: Expanding Equation 2: Now, subtract Equation 1 from Equation 2: Now, substitute from Equation (3) into Equation 1: Expanding and solving for , we get: Thus, or . For , substitute into to get . Thus, the point of intersection is .
The other point of intersection can be calculated similarly, but for this question, the correct answer is .