quadratic integer

noun

A number (real or complex) which is a solution to an equation of the form x²+Bx+C=0 for some integers B and C. For example 42, or 2+3i, or 1+√(-3)/2.

Ask AI about this wordChatGPTClaudePerplexityGoogle AIGrok

Meanings

nounquadratic integer (plural quadratic integers)

plural quadratic integers

  1. mathematicsA number (real or complex) which is a solution to an equation of the form x²+Bx+C=0 for some integers B and C. For example 42, or 2+3i, or 1+√(-3)/2.

Origin

Blend of quadratic + algebraic integer. The idea of integer here is that if the coefficient of the x² term is set to 1 (i.e., if the polynomial is made monic), the other coefficients are integers.

Full word history & related roots →
Cite this entry
APA

quadratic integer. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/quadratic%20integer

MLA

“quadratic integer.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/quadratic%20integer. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “quadratic integer,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/quadratic%20integer.

Source: quadratic integer on Wiktionary, CC BY-SA 4.0.