CPM Homework Help : A2C Problem 8-28

Consider the system of equations below. Homework Help ✎ x² + y² = 25
y = x² + 3
1. Solve the system graphically.
2. Now solve the system algebraically. In this case, which variable is easier to solve for first? Do it. Now try to solve for the other variable first. What caused you to get stuck?

Hint (a):

The first equation is a circle with radius 5 and center (0, 0).

More Help (a):

The second equation is a parabola with vertex (0, 3).

Answer (a):

Hint (b):

What happens when you substitute for y in the first equation?

More Help (b):

Try solving for x² in the second equation and substituting that into the first equation.