An ‘extreme algebra’ question
Community Mathematics Centre, CoMaC (2020) An ‘extreme algebra’ question. At Right Angles. pp. 99101. ISSN 25821873
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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: 


Uncontrolled Keywords:  Extreme algebra, Theory of equations, Recurrence relations  
Subjects:  Natural Sciences > Mathematics  
Divisions:  Azim Premji University > University Publications > At Right Angles  
Full Text Status:  Public  
URI:  http://publications.azimpremjiuniversity.edu.in/id/eprint/3029  
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