biquadratic

Meanings

• noun

  A biquadratic equation is a polynomial equation of the fourth degree.

  - "The roots of the biquadratic equation ax^4 + bx^2 + c = 0 can be found using the Ferrari method."
  - "Solving a biquadratic equation can be quite complex and time-consuming."

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Variants

List of all variants of biquadratic that leads to same result
biquadratic , biquadratics

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Etymology

origin and the way in which meanings have changed throughout history.

From the Latin words 'bis' meaning twice and 'quadratum' meaning square, a biquadratic equation is a polynomial equation with terms that are all of the fourth power.

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Trivia

Any details, considerations, events or pieces of information regarding the word

1. The biquadratic equation x^4 + 4 = 0 has exactly four real roots.

2. The biquadratic equation x^4 - 1 = 0 has exactly four roots, but two of them are complex numbers.

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Related Concepts

informations on related concepts or terms closely associated with the word. Discuss semantic fields or domains that the word belongs to

1. Quadratic equation: A quadratic equation is a polynomial equation of the second degree.

2. Cubic equation: A cubic equation is a polynomial equation of the third degree.

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Culture

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Biquadratic equations have applications in various fields of mathematics, physics, and engineering.

How to Memorize "biquadratic"

1. visualize
   

   - To visualize a biquadratic equation, imagine a graph of the function and its roots.

2. associate
   

   - Associate the term 'biquadratic' with the idea of a polynomial equation of the fourth degree.

3. mnemonics
   

   - Use the mnemonic 'Big Quad' to remember that a biquadratic equation is a polynomial equation of the fourth degree.

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