不定方程x^2-Dy^2=36在两种特殊情况下的最小解

Minimal Solution of Indeterminate Equation x^2-Dy^2=36 under Two al Circumstances

讨论了不定方程x2-Dy2=36,D>0,D为非完全平方数,其中k=|D^(1/2)|,D=k2+d=(k+1)2-d1,d+d1=2k+1,0<d,d1<2k+1,在|d12k及d1|12(k+1)两种特殊情况下的最小解.

Minimal Solution of Indeterminate Equation x2 - Dy2 = 36, D 〉 0, D as non - perfect square number, in which k = [ √D], D = k2 ＋ d = k ＋ 1 ） 2 - d1, d ＋ d1 = 2k ＋ 1,0 〈 d,d1 〈 2k ＋ 1, under two al circumstances was discussed in this paper.