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Re: Finding Integer Solutions
Posted:
Jun 14, 1996 7:46 AM


In article <4ppkie$rie@news02.deltanet.com>, fuji@deltanet.com (Kenneth N. Fujimoto) writes: > Are there integer solutions for : > > 30x^2 + 100x + 27784 = y^2
No. Write this as z^2  30y^2 = 831020 = 2^2.5.37.1123 where z = 30x + 50. Since the equation u^2 congruent 30 mod 1123 has no solution, both z and u would have to be divisible by 1123^2 and so the RHS would be also: contradiction.
Richard Pinch; Queens' College, Cambridge



