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.

See also

• Indeterminate system
• Indeterminate (variable)
• Linear algebra