Definition:Indeterminate Equation
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Definition
An indeterminate equation is an equation for which there is more than one unknown.
Hence, unless other restrictions are imposed, there may be an infinite number of solutions.
Examples
Arbitrary Example
The equation:
- $3 x + 4 y = 50$
is indeterminate.
Also see
- Results about indeterminate equations can be found here.
Sources
- 1937: Eric Temple Bell: Men of Mathematics ... (previous) ... (next): Chapter $\text{IV}$: The Prince of Amateurs
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): indeterminate equation
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): indeterminate equation