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This Diophantine equation has a solution (where x and y are integers) if and only if c is a multiple of the greatest common divisor of a and b. Moreover, if (x, y) is a solution, then the other solutions have the form (x + kv, y - ku), where k is an arbitrary integer, and u and v are the quotients of a and b (respectively) by the greatest common divisor of a and b.
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11 Feb 13
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30 May 09
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17 Feb 08
was oxygenBrahmagupta (628) handled more difficult Diophantine equations - he discovered Pell's equation, and in his Samasabhavana he laid out a procedure to solve Diophantine equations of the second order, such as 61x^2 + 1 = y^2.
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12 Jan 08
In mathematics, a Diophantine equation is an indeterminate polynomial equation that allows the variables to be integers only. Diophantine problems have fewer equations than unknown variables and involve finding integers that work correctly for all equatio
math mathematics maths equations polynomials for:mrmont Algebra
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20 Feb 07
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