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Quadratic vs Rational - What's the difference?

quadratic | rational |

In mathematics terms the difference between quadratic and rational

is that quadratic is a quadratic polynomial, function or equation while rational is a rational number: a number that can be expressed as the quotient of two integers.

quadratic

English

Alternative forms

* quadratick (obsolete)

Adjective

(-)
  • square-shaped
  • (mathematics) of a polynomial, involving the second power (square) of a variable but no higher powers, as ax^2 + bx + c.
  • (mathematics) of an equation, of the form ax^2 + bx + c = 0.
  • (mathematics) of a function, of the form y = ax^2 + bx + c .

    • Noun

    (en noun)
  • (mathematics) A quadratic polynomial, function or equation.

    • Related terms

    * quadrate * quadratic equation * quadratic form * quadratic mean * quadratic reciprocity theorem * quadratic residue

    See also

    * cubic * linear * quartic * quintic

    External links

    * * *

    rational

    English

    Alternative forms

    * rationall (obsolete)

    Etymology 1

    From (etyl) rationel, rational, from (etyl)

    Adjective

    (en adjective)
  • Capable of reasoning.
  • *
  • Logically sound; not contradictory or otherwise absurd.
  • (label) Healthy or balanced intellectually; exhibiting reasonableness.
  • *{{quote-magazine, date=2014-06-21, volume=411, issue=8892, magazine=(The Economist)
    • , title= Magician’s brain , passage=The [Isaac] Newton that emerges from the [unpublished] manuscripts is far from the popular image of a rational practitioner of cold and pure reason. The architect of modern science was himself not very modern. He was obsessed with alchemy.}}
  • Of a number, capable of being expressed as the ratio of two integers.
    • ¾ is a rational number, but ?2 is an irrational number.
  • Of an algebraic expression, capable of being expressed as the ratio of two polynomials.
  • (label) Expressing the type, structure, relations, and reactions of a compound; graphic; said of formulae.
    • Antonyms
    * (reasonable) absurd, irrational, nonsensical * (capable of reasoning) arational, irrational, non-rational * (number theory) irrational
    Related terms
    * arational * irrational * non-rational * rationale * rationality * rationalness * subrational * suprarational

    Etymology 2

    From (etyl) rational, from , for which see the first etymology.

    Noun

    (en noun)
  • (mathematics) A rational number: a number that can be expressed as the quotient of two integers.
    • The quotient of two rationals''' is again a '''rational .
  • A rational being.
    • (Young)

    References

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    Anagrams

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