Meaning of "quartic" in English

In mathematics, the term "quartic" refers to an algebraic expression or equation involving the fourth degree, meaning the highest power of its variable is four. Quartic equations are a type of polynomial equation and are more complex than linear, quadratic, or cubic equations. They can have up to four real roots, and solving them analytically can be challenging. These equations play a significant role in various areas of mathematics, including algebra and calculus, and are often analyzed for their unique properties and implications.

Meaning of "quartique" in French

In French, "quartique" also pertains to mathematics, specifically referring to an expression or an equation of the fourth degree. Like its English counterpart, a quartique equation involves the variable raised to the power of four, making it more complex than lower-degree polynomial equations. These fourth-degree equations can have several solutions, which makes them a subject of study in advanced mathematics. Understanding and solving such equations are essential in fields like algebra and calculus in the French mathematical context.

Pronunciation of "quartic" in English

Phonetic Transcription: /ˈkwɔːr.tɪk/

Pronunciation Variations: The pronunciation of "quartic" is generally consistent across different regions. However, slight variations may occur in the exact clarity of the "r" and "t" sounds depending on regional accents.

Pronunciation of "quartique" in French

Phonetic Transcription: /kaʁ.tik/

Pronunciation Variations: Similar to English, the pronunciation of "quartique" doesn't vary significantly across French-speaking regions. However, slight differences might occur in articulation depending on regional dialects or accents.

Sentence examples in English and translation to French

  1. The quartic equation was more challenging than we expected. (L'équation quartique était plus difficile que prévu.)
  2. Solving a quartic polynomial requires advanced mathematical skills. (Résoudre un polynôme quartique nécessite des compétences mathématiques avancées.)
  3. The team analyzed the quartic function to find its roots. (L'équipe a analysé la fonction quartique pour trouver ses racines.)
  4. Understanding quartic curves is essential in geometry. (Comprendre les courbes quartiques est essentiel en géométrie.)
  5. We studied quartic equations in our algebra class today. (Nous avons étudié les équations quartiques dans notre cours d'algèbre aujourd'hui.)
  6. The mathematician proposed a new method for solving quartic equations. (Le mathématicien a proposé une nouvelle méthode pour résoudre les équations quartiques.)
  7. Our homework included graphing quartic functions. (Notre devoir comprenait le tracé de fonctions quartiques.)
  8. A quartic polynomial can be factored into lower-degree terms under certain conditions. (Un polynôme quartique peut être factorisé en termes de degré inférieur sous certaines conditions.)
  9. The complexity of quartic equations often requires computational tools. (La complexité des équations quartiques nécessite souvent des outils informatiques.)
  10. The researcher published a paper on the applications of quartic equations. (Le chercheur a publié un article sur les applications des équations quartiques.)

Synonyms, antonyms, and similar words for "quartic" in English

Synonyms: fourth-degree, biquadratic.

Antonyms: -

Similar Words: polynomial, algebraic, cubic, quadratic, linear.

Synonyms, antonyms, and similar words for "quartique" in French

Synonyms: bichnique.

Antonyms: -

Similar Words: polynomial, algébrique, cubique, quadratique, linéaire.

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