Definition

1. Noun:
   • An algebraic equation of the fourth degree: In mathematics, a "biquadrate" is a specific type of polynomial equation where the highest power of the variable (usually x) is four. It is also known as a quartic equation.

Usage Examples

• Noun:
  • Solving a biquadrate can be more complex than solving a quadratic equation.
  • The equation x⁴ - 5x² + 4 = 0 is a classic example of a biquadrate.

Advanced Usage

• "Biquadrate" is a somewhat archaic or highly specialized term. In modern mathematics, the term "quartic" is more commonly used to describe an equation of the fourth degree.
  • The mathematician preferred the term 'quartic function' over 'biquadrate'.

Variants and Related Words

• Biquadratic (adj): Relating to the fourth power.
  • The solution involved a biquadratic expression.
• Quartic (n/adj): A synonym for biquadrate; an equation or function of the fourth degree.
  • They studied the properties of quartic polynomials.

Synonyms

• Quartic equation: An algebraic equation of the fourth degree.
• Fourth-degree equation: A descriptive synonym for biquadrate.

Related Terms (Mathematical Context)

• Quadratic (n): An algebraic equation of the second degree (e.g., ).
• Cubic (n): An algebraic equation of the third degree (e.g., ).

Noun

1. an algebraic equation of the fourth degree