Skip to main content
Glite Dictionary
biquadrate

biquadrate

9.9
An equation in which the highest power of the variable is four
  • noun
  • /ˌbaɪˈkwɒdreɪt/
  • Specialized
translation icon : bi cuadrática
  • A biquadrate equation is also known as a quartic equation in modern mathematics.

Examples

  • The equation x^4 + 2x^2 + 1 = 0 is a biquadrate.

  • Students were asked to find the roots of a biquadrate function in the test.

  • The mathematician solved the biquadrate using advanced algebraic techniques.

  • Can you solve this biquadrate for me?

  • A biquadrate equation is an algebraic equation of the fourth degree, such as x^4 - 16 = 0.

  • In today's lesson, we learned to graph a biquadrate function and identify its roots.

  • The formula for a biquadrate can be complex, but it involves terms of the fourth power.

Synonyms

biquadratic equation
vsbiquadrate
  • Specialized
9.9

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

is used for equations or functions, not only equations
biquadratic
vsbiquadrate
  • Specialized
9.9

An algebra equation that has a variable raised to the fourth power

is a specific label for equations and functions of fourth degree
biquadratic polynomial
vsbiquadrate
  • Specialized
9.9

A math expression whose highest power of x is four

can apply to equations or other functions, not only polynomials
quartic polynomial
vsbiquadrate
  • Specialized
9.9

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

covers both polynomials and other fourth degree functions as well
quartic
vsbiquadrate
  • Specialized
9.9

An equation with the highest power of four

is the same idea but used as an alternate form for equations

Surface Forms

biquadrate singular
biquadrates plural

Morphology

biquadrate = quadrate (semi-transparent) = bi + quadrate

The prefix 'bi-' (two) plus 'quadrate' (square) suggests 'square of a square' (fourth power), but 'quadrate' is rare and the exact mathematical interpretation may not be obvious to average learners.

Etymology

Biquadrate comes from bi- meaning 'two' and quadrate meaning 'square', so it literally says 'square twice'. So it means 'to the fourth power', which is why a biquadrate equation has degree four.