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Glite Dictionary
4️⃣ A fourth-degree equation 4️⃣ Involving fourth power
biquadratic

biquadratic

9.9
An algebra equation that has a variable raised to the fourth power
  • noun
  • /ˌbaɪkwɒdrætɪk/
  • Specialized
translation icon : biquadrática
  • A typical biquadratic may have up to four real roots.

Examples

  • We learned about biquadratics in algebra class.

  • The mathematician solved the biquadratic using advanced algebraic techniques.

  • Engineers often encounter biquadratic equations in control theory.

  • The equation is a biquadratic polynomial.

  • A typical biquadratic may have up to four real roots.

  • Engineers often encounter biquadratic equations in control theory.

  • The mathematician solved the biquadratic using advanced algebraic techniques.

Synonyms

fourth power
vsbiquadratic
  • Specialized
1 7.3

A number multiplied by itself four times

focuses on algebraic items of fourth degree rather than single power operations
biquadratic equation
vsbiquadratic
  • Specialized
9.9

An equation where the highest power of the unknown number is four

is broader, covering expressions and polynomials of the same degree
biquadratic polynomial
vsbiquadratic
  • Specialized
9.9

A math expression whose highest power of x is four

is the general term also covering equations and expressions of that degree
quartic polynomial
vsbiquadratic
  • Specialized
9.9

A math expression with a variable raised to the fourth power as highest term

is the same mathematical concept but presented as a general label
quartic
vsbiquadratic
  • Specialized
9.9

An equation with the highest power of four

is the specific term emphasising fourth degree algebraic items
biquadrate
vsbiquadratic
  • Specialized
9.9

An equation in which the highest power of the variable is four

is the standard descriptor covering equations, expressions, and polynomials

Compounds

biquadratic equation
  • Specialized
9.9

An equation where the highest power of the unknown number is four

biquadratic polynomial
  • Specialized
9.9

A math expression whose highest power of x is four

Surface Forms

biquadratic singular
biquadratics plural

Morphology

biquadratic = quadratic (semi-transparent) = bi + quadrat + ic

The prefix bi- clearly adds the sense of 'two' or 'twice', but the specialized mathematical meaning 'of the fourth degree' depends on knowing quadratic terminology.

Etymology

Biquadratic comes from bi- meaning 'two' and quadratic which is about a 'square'. So it literally means a 'square of a square', which is why a biquadratic (a noun) is an equation that involves the fourth power.