OBSERVATIONS ON THE NON HOMOGENEOUS EQUATION OF THE EIGHTHDEGREE WITH FIVE UNKNOWNS

Vidhyalakshmi.S; Lakshmi.K; Gopalan.M.A

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OBSERVATIONS ON THE NON HOMOGENEOUS EQUATION OF THE EIGHTHDEGREE WITH FIVE UNKNOWNS

机译：关于五个未知的八重积分的非齐次方程的观察

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We obtain infinitely many non-zero integer quintiples (x, y, z,w, p) satisfying the nonhomogeneous equation of degree eight with five unknowns given by 4 4 2 2 2 2 6 x ??- y ??? (k ??? s )(z ??-w )p .Various interesting relations between the solutions and special numbers, namely, polygonal numbers, Pyramidal numbers, Star numbers, Stella Octangular numbers, Octahedral numbers, Four Dimensional Figurative numbers, Five Dimensional Figurative numbers and six Dimensional Figurative numbers are exhibited.

机译：我们得到无限多个非零整数五重态（x，y，z，w，p），它们满足度数为8的非齐次方程，具有5 4 4 2 2 2 2 2 6 xγ-y给出的未知数（k ??? s）（z ?? -w）p。解与特殊数字之间的各种有趣的关系，即多边形数，金字塔形数，星形，斯特拉八边形数，八面体数，四维有形数，五展示了三维图形数和六个三维图形数。

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《International Journal of Innovative Research in Science, Engineering and Technology》 |2013年第5期|共10页
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Vidhyalakshmi.S; Lakshmi.K; Gopalan.M.A;
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OBSERVATIONS ON THE NON HOMOGENEOUS EQUATION OF THE EIGHTHDEGREE WITH FIVE UNKNOWNS

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