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ps03 - 18.03 Problem Set 3 Fall 2009 Due in boxes in Room...

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Unformatted text preview: 18.03 Problem Set 3 Fall 2009 Due in boxes in Room 2-106, Friday Sept. 25 at 3:00 p.m. You may and should discuss the problems with other students, but you must write solutions entirely on your own. (The main reason for this requirement is that we enforce it so strictly on exams.) Question Zero is required for your problem set to count. 0. On the first page of your homework, list the individuals (other than recitation lead- ers, lecturer, and math department tutors) with whom you discussed the homework; and list the sources (other than the class text, web site, and supplementary notes) that you consulted. This will look like, “Consulted with Jane Doe; consulted text Birkhoff & Rota and web site http://www.clepsydra.ch/ ,” or “No consultation.” Collaboration is good, and finding things to read is good. 1. (5 points) Solve the equation x 6- 1 = 0 using just high school algebra (factorization and the quadratic formula). Then solve it using DeMoivre’s formula. Say how the six roots that youthe quadratic formula)....
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