Indeterminate equation

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.

ee also

*Indeterminate system
*Indeterminate (variable)
*Linear algebra

References


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  • indeterminate equation — noun : an equation in which the unknown quantities admit of an infinite number of values or sets of values …   Useful english dictionary

  • Indeterminate — In de*ter mi*nate, a. [L. indeterminatus.] Not determinate; not certain or fixed; indefinite; not precise; as, an indeterminate number of years. Paley. [1913 Webster] {Indeterminate analysis} (Math.), that branch of analysis which has for its… …   The Collaborative International Dictionary of English

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  • Indeterminate coefficients — Indeterminate In de*ter mi*nate, a. [L. indeterminatus.] Not determinate; not certain or fixed; indefinite; not precise; as, an indeterminate number of years. Paley. [1913 Webster] {Indeterminate analysis} (Math.), that branch of analysis which… …   The Collaborative International Dictionary of English

  • Indeterminate inflorescence — Indeterminate In de*ter mi*nate, a. [L. indeterminatus.] Not determinate; not certain or fixed; indefinite; not precise; as, an indeterminate number of years. Paley. [1913 Webster] {Indeterminate analysis} (Math.), that branch of analysis which… …   The Collaborative International Dictionary of English

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  • Indeterminate quantity — Indeterminate In de*ter mi*nate, a. [L. indeterminatus.] Not determinate; not certain or fixed; indefinite; not precise; as, an indeterminate number of years. Paley. [1913 Webster] {Indeterminate analysis} (Math.), that branch of analysis which… …   The Collaborative International Dictionary of English

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  • Indeterminate — has a variety of meanings in mathematics: * Indeterminate (variable) * Indeterminate equation * Statically indeterminate * Indeterminate formIt is also a term in botany and gardening: *Indeterminate growthIt is also used in philosophy to describe …   Wikipedia

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