An ‘extreme algebra’ question
Community Mathematics Centre, CoMaC (2020) An ‘extreme algebra’ question. At Right Angles. pp. 99-101. ISSN 2582-1873
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Abstract
We came across this problem in a Facebook post which in turn pointed to a YouTube video. Given that a, b, c are numbers such that a + b + c = 1, a2 + b2 + c2 = 2 and a3 + b3 + c3 = 3, find the value of a5 + b5 + c5. The author describes this as an ‘extreme algebra’ problem, as the solution involves an ‘extreme amount’ of algebra. He solves the problem in a direct, straightforward manner, by multiplying the corresponding sides of the second and third equalities (thereby getting the expression a5 + b5 + c5) and then somehow getting rid of the unwanted terms.
| Item Type: | Articles in APF Magazines |
|---|---|
| Authors: | Community Mathematics Centre, CoMaC |
| Document Language: | Language English |
| Uncontrolled Keywords: | Extreme algebra, Theory of equations, Recurrence relations |
| Subjects: | Natural Sciences > Mathematics |
| Divisions: | Azim Premji University - Bengaluru > University Publications > At Right Angles |
| Full Text Status: | Public |
| URI: | http://publications.azimpremjiuniversity.edu.in/id/eprint/3029 |
| Publisher URL: |
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