Pythagorean Theorem:
x^2 + y^2 = z^2
Solve for the number of solutions for 100:
Number of solutions = 30
E.g. y = 2499, z = 2501
Solve for the number of solutions for 210
Number of solutions = 54
Eg. y = 11,024 z = 11,026
Solve for the number of solutions for 420
Number of solutions = 162
E.g. y = 44,099 z = 44,101
Solve for the number of solutions for 35
E.g. y = 612 z = 613
Extension of the problem!
Can you solve for the number of solutions for x = 5?
Answer:
2 solutions including y = 12, z = 13 and y = 0, z = 5
Hmmm, maybe I'm missing something, but all I see here are numbers, with no rationale behind them. How do you know how many solutions there are in each case? Where do these numbers come from? I don't understand this. Also, there's another part to Assignment 1, and I think I must have been unclear about this at the start: you must write a brief reflective blog post about what you learned from this project. There's still time to add this!
ReplyDeleteAlso, I want to thank you for adding some very thoughtful comments to several other classmates' blog posts on their Assignment 1 projects! That was very good, and is always much appreciated.
ReplyDelete