Proving an equation involving 4 real numbers

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SUMMARY

The discussion centers on the proof of an equation involving four real numbers, with participant Jim seeking feedback on his solution attempt. A notable point raised is the redundancy of the phrase "...as desired. QED," since QED already signifies the conclusion of a proof. Additionally, the use of the square symbol to denote completion is mentioned, with a potential etymological connection to the term "quod." This highlights both the mathematical rigor and the nuances of notation in formal proofs.

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  • Familiarity with the concept of real numbers
  • Knowledge of the abbreviation QED in mathematical contexts
  • Awareness of common mathematical symbols and their meanings
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Jadehaan
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Homework Statement



This is the question followed my my attempt at the solution:


attachment.php?attachmentid=24154&stc=1&d=1267834532.png




Just wondering if this looks right?
Thanks for any and all feedback,
Jim
 

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I'll let someone else check the proof, but I thought you might like to know that "...as desired. QED" is redundant. QED is an abbreviation for "quod erat demonstrandum", meaning "which was to be demonstrated".

The (hollow or solid) square symbol is more common nowadays, which I've heard is a pun on quod/quad, but I don't know if that's true.
 

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