CPM Homework Help : INT2 Problem 10-86

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10-86.

What are the point(s) of intersection, if any, for the systems given below? Use an algebraic solving method of your choice.

$y = x^2 - x - 2$
$y = x − 6$
Hint (a):
Use substitution or the equal values method.
Step 1 (a):
$x^2 - x - 2 = x - 6$
Step 2 (a):
$x^2 - 2x + 4 = 0$
Step 3 (a):
Solve
Partial Answer (a):
What does the solution to the quadratic equation tell about the intersection points?

$y = 2x^2 + 3x - 9$
$y = x - 5$
Hint (b):
Use the same method as part (a).
Answer (b):
Two intersection points: $(1, -4)$ and $(-2, -7)$ .

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