trùng phương

trùng phương

Phương trình trùng phương có dạng ax⁴ + bx² + c = 0.

Definition
  1. Adjective (Mathematics):
    • Biquadratic: Describes a polynomial equation in which the variable appears only to the second and fourth powers. It is a specific type of quartic equation.
    • Biquartic: A less common synonym for biquadratic.
Usage Examples
  • Adjective:
    • Phương trình trùng phương có dạng ax⁴ + bx² + c = 0. (A biquadratic equation has the form ax⁴ + bx² + c = 0.)
    • Đây là một bài toán trùng phương. (This is a biquadratic problem.)
Advanced Usage
  • "phương trình trùng phương": biquadratic equation.
    • Giải phương trình trùng phương này bằng cách đặt t = x². (Solve this biquadratic equation by substituting t = x².)
Variants and Related Words
  • Phương trình bậc bốn (n): Quartic equation (a more general term for fourth-degree equations).
  • Đa thức trùng phương (n): Biquadratic polynomial.
Synonyms
  • Biquadratic: The standard mathematical term.
  • Biquartic: An alternative term with the same meaning.
Notes on Usage
  • The term "trùng phương" is used exclusively in mathematical contexts. It is a technical adjective and is not used in everyday conversation.
  • In mathematics, solving a "phương trình trùng phương" (biquadratic equation) typically involves a substitution to reduce it to a quadratic equation.