Problems for the senior school

De, Prithwijit and Shirali, Shailesh (2017) Problems for the senior school. At Right Angles, 6 (2). pp. 92-94.

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Abstract

Problem VI-2-S.1 A mathematics teacher wrote the quadratic x 2 + 10x + 20 on the board. Then each student either increased by 1 or decreased by 1 either the constant or the linear coefficient. Finally x 2 + 20x + 10 appeared. Did a quadratic expression with integer zeros necessarily appear on the board in the process? [From Polynomials by Ed Barbeau]

Item Type: Articles in APF Magazines
Uncontrolled Keywords: Integer, cube, perfect square, perfect cube, progression, cyclic quadrilateral, inscribed square
Subjects: Natural Sciences
Natural Sciences > Mathematics
Divisions: Azim Premji University > University publications > At Right Angles
Depositing User: Mr. Sachin Tirlapur
Date Deposited: 15 Sep 2018 15:30
Last Modified: 29 Jul 2019 07:15
URI: http://publications.azimpremjifoundation.org/id/eprint/1382
Publisher URL: http://apfstatic.s3.ap-south-1.amazonaws.com/s3fs-...

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