# Indeterminate equation

An indeterminate equation, in mathematics, is an equation for which there is more than one solution; for example, 2x = y is a simple indeterminate equation. Indeterminate equations cannot be solved uniquely. For example, the equations

$\ ax + by = c,$
$\ x^2 - Py^2 = 1,$
$x^2=1$

where a, b, c, and P are given integers (provided that P is not a square number), are indeterminate equations. Equations of the second form are named Pell's equations.

## References

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