How Can Two Equations Have Multiple Points of Intersection?

AI Thread Summary
The discussion centers on the equations y=x^2-x and y=x, highlighting the process of finding their points of intersection. The user correctly identifies one intersection point at (0,0) by setting x^2-x equal to x, leading to x=0. However, confusion arises as the answer book lists an additional intersection point at (2,2). The user seeks clarification on how two equations can have multiple points of intersection, indicating a misunderstanding of the solution process. Ultimately, the conversation reflects a common challenge in solving quadratic equations and interpreting their graphical intersections.
bob4000
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i have y=x^2-x and y=x

from this x^2-x=x
therefore: x^2=0, and x then equals zero.

putting this info into y=x, y=0

this gives the points (0,0). however, in the answer book, it shows that the points of intersection are (0,0) and (2,2). how is it possible to do this?!

appreciate any help or guidance

thanx
 
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dont worry about it just got confused

thnx
 

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