Which two implies the third?
Dr Peyam Dr Peyam
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 Published On Dec 3, 2022

Which two implies the third? Here is a fun algebra problem! Which two of the following three identities implies the other one? We have a+b=1 and a^2 + b^2 = 1 and 1/a+1/b=1. Can you guess what the answer is? This is a must-see for any arithmetic and geometry lovers, and especially for high school and college mathematics students. I even relate it to lines and circles!

Another fun problem:    • 1/x+y = 1/x + 1/y  

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