Diophantine equation
A Diophantine equation is an equation which must be solved using only integers. For instance, the Diophantine equation
![$4a+3b=10$](http://latex.artofproblemsolving.com/a/4/9/a49699a226c97b45de2e59e9e230e9eaa5e0165b.png)
has infinitely many solutions, two of which are and
.
Finding the solution or solutions to a Diophatine equation is closely tied to modular arithmetic and number theory. Often, when a Diophantine equation has infinitely many solutions, parametric form is used to express the relation between the variables of the equation.
See also
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