Indeterminate equation

An indeterminate equation, in mathematics, is an equation for which there is an infinite set of solutions; for example, 2x = y is a simple indeterminate equation. Indeterminate equations cannot be directly solved from the given information. For example, the equations

$\ ax+by=c$

$\ x^{2}-Py^{2}=1$

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