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Usha Rani, T.R.
- Observations on the Non-homogenous Biquadratic Equation with Four Unknowns
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Authors
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1 Department of Mathematics, Shrimati Indira Gandhi College, Tiruchirappalli–2, IN
1 Department of Mathematics, Shrimati Indira Gandhi College, Tiruchirappalli–2, IN
Source
International Journal of Mathematics Research, Vol 5, No 1 (2013), Pagination: 135-140Abstract
We obtain infinitey many non-zero integer quadruples (x,y,z,w) satisfying the biquadratic equation with four unknowns 8(x3+y3)=(1+3k2)z3w.. Various interesting relations between the solutions and special numbers, namely, polygonal numbers, pyramidal numbers, Jacobsthal numbers, Jacobsthal- Lucas numbers are obtained.Keywords
Bi-quadratic Equation With Four Unknowns, Integral Solution, Special Numbers.
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