Answer:
1 intersection point at (11,96)
Step-by-step explanation:
Comment
The best way to solve this is to start with a graph. Then you can work out the actual intersection points.
The graph shows that there is only 1 intersect point. Let's try and find it.
Givens
y = (x - 5)(x + 5) = x^2 - 25
y = (x +1)(x - 3) = x^2 -2x - 3
If the intersect points are what you want, then the y value for both equations must be equal.
Solution
x^2 - 25 = x^2 - 2x - 3 Subtract x^2 from both sides
x^2 - x^2 - 25 = x^2 - 2x - 3 Combine
- 25 = - 2x - 3 Add 3 to both sides
-25+3 = -2x - 3 + 3 Combine
-22 = - 2x Divide by - 2
-22/-2 = x
x = 11
y = x^2 - 25
y = 11^2 - 25
y = 121 - 25
y = 96
