Define Diophantine equation and the what is the use of it.
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In mathematics, a Diophantine equation is a polynomial equation, usually involving two or more unknowns, such that the only solutions of interest are the integer ones. A linear Diophantine equation equates to a constant the sum of two or more monomials, each of degree one.
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Diophantine equation, equation involving only sums, products, and powers in which all the constants are integers and the only solutions of interest are integers. ... For example, x = 20, y = 10 is a solution, and so is x = 20 + 3t, y = 10 + 2t for every integer t, positive, negative, or zero.
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