1. Warm-up Solve using the quadratic formula: 2x2 + x – 5 =0
2) Given x2+2x-6=0, state the following:
a) discriminant
b) # and nature (type)
of the roots.

2. Homework Answers

3. Homework Answer $1

4. Solving Nonlinear Systems Lines and Circles

5. If the graphs of a system of equations are a conic section and a straight line, the system will have zero, one, or two solutions.
Examples
no solution 1 solution 2 solutions

6. Find the points of intersection
x2 + y2 = & y = x + 1
We will use….. Substitution.
Now plug these values into the
Equation to get y!!
(-3,-2) and (2,3) are the points
where the two graphs intersect.
Check it on your calculator!

7. Solve by substitution:

8. Let’s see how we are doing...

9. The sum of two numbers is 24
The sum of two numbers is 24. The sum of the squares of the two numbers is What is the product of the two numbers?

10. A circular pond is modeled by the equation x2+y2=225
A circular pond is modeled by the equation x2+y2=225. A bridge over the pond is modeled by a segment of the equation x-7y=-75. What are the coordinates of the points where the bridge meets the edge of the pond?