Science and Inquiry discussion

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Math with Bad Drawings
Book Club 2023
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February 2023 - Math With Bad Drawings
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So I'm trying to solve this and my head soon feels like it's going to explode. There is a solution in the Endnotes which I can follow up to the point where he says: "We can guarantee c is a whole number by taking d=4a+1." Where does that even come from?

Nancy wrote: "OK, I'm done, great book. But I am struggling with a concept so I'm going to ask a question. In Chapter 1, the author presents this problem: Create 2 rectangles so the the first has exactly twice t..."
I tried and tried, and did not come up with that solution (I do not have a copy of the book). However this web page has two different solution approaches, for an infinite family of solutions:
https://math.stackexchange.com/questi...
I keep coming up with the second of the two solution approaches. However, I think that the author took the first solution approach. If, in that mathematics web site we switch a & b around, then we get the requirement that d > 4a. I think the author chose the particular solution that d = 4a+1, so that the denominators are =-1.
I tried and tried, and did not come up with that solution (I do not have a copy of the book). However this web page has two different solution approaches, for an infinite family of solutions:
https://math.stackexchange.com/questi...
I keep coming up with the second of the two solution approaches. However, I think that the author took the first solution approach. If, in that mathematics web site we switch a & b around, then we get the requirement that d > 4a. I think the author chose the particular solution that d = 4a+1, so that the denominators are =-1.
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