### Home > CCA2 > Chapter 8 > Lesson 8.3.2 > Problem 8-151

8-151.

Sketch both the circle

*x*^{2}+*y*^{2}= 25 and the parabola*y*=*x*^{2}− 13. Homework Help ✎How many points of intersection are there?

Find the coordinates of these points algebraically.

Look at the graph.

4 points

Substitute *x*² − 13 into the first equation.

Solve for *x*.

Factor the equation.

Now substitute in these *x* values to find the *y*.

(*x*² − 16)(*x*² − 9)

(*x* − 4)(*x* + 4)(*x* − 3)(x + 3)