show that 7x^2 - 35xy^7 + 5y^14 = 88 has no integer solutions. i cant find any examples similar in my lecture notes and am unsure which theories i should use to show this
Last edited by linearalgebradunce; August 14th 2008 at 06:12 AM.
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Originally Posted by linearalgebradunce show that 7x^2 - 35xy^7 + 5y^14 = 88 has no integer solutions. i cant find any examples similar in my lecture notes and am unsure which theories i should use to show this Start by reducing the equation mod 5 and mod 7, to get , . Then concentrate on the second of those two congruences ... .
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