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Equal sums, sums of squares and sums of cubes

Published online by Cambridge University Press:  24 February 2022

G. J. O. Jameson
G. J. O. Jameson*
Affiliation:
13 Sandown Road, LancasterLA1 4LN e-mail: pgjameson@talktalk.net
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Extract

Consider the problem of finding triples of numbers (x1, x2, x3) and (y1, y2, y3) satisfying (1)

$${x_1} + {x_2} + {x_3} = {y_1} + {y_2} + {y_3}$$
and (2)
$$x_1^2 + x_2^2 + x_3^2 = y_1^2 + y_2^2 + y_3^2.$$

Type
Articles
Information
The Mathematical Gazette , Volume 106 , Issue 565 , March 2022 , pp. 54 - 60
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Copyright
© The Authors, 2022. Published by Cambridge University Press on behalf of The Mathematical Association

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References

Jameson, G. J. O., Monotonicity of the mid-point and trapezium estimates for integrals, Math. Gaz. 105 (November 2021) pp. 433–441.10.1017/mag.2021.110CrossRefGoogle Scholar
Jameson, G. J. O., Counting zeros of generalised polynomials: Descartes’ rule of signs and Laguerre’s extensions, Math. Gaz. 90 (July 2006) pp. 223–234.10.1017/S0025557200179628CrossRefGoogle Scholar