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Glite Dictionary
biquadratic equation

biquadratic equation

9.9
An equation where the highest power of the unknown number is four
  • noun
  • /ˌbaɪkwɒdrætɪk ɪˈkwɛɪʒən/
  • Specialized
translation icon : ecuación biquadrática
  • A biquadratic equation can be expressed in the form ax^4 + bx^2 + c = 0.

Examples

  • To find the roots of a biquadratic equation, students often use techniques such as factoring or substitution.

  • The biquadratic equation can be solved using specialized algebraic methods.

  • Many physical phenomena can be modeled by a biquadratic equation when describing certain systems.

  • She encountered a biquadratic equation in her advanced mathematics course.

  • Can you solve a biquadratic equation easily?

  • In her advanced mathematics class, she learned how to manipulate a biquadratic equation effectively.

  • The professor explained that a biquadratic equation is a type of polynomial equation of the fourth degree.

Synonyms

biquadratic
vsbiquadratic equation
  • Specialized
9.9

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

is the specific equality form rather than a general expression
quartic
vsbiquadratic equation
  • Specialized
9.9

An equation with the highest power of four

is the specific equality case rather than a function or term
biquadrate
vsbiquadratic equation
  • Specialized
9.9

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

is the equality instance rather than the general algebraic form
biquadratic polynomial
vsbiquadratic equation
  • Specialized
9.9

A math expression whose highest power of x is four

is the equality version that sets that expression equal
quartic polynomial
vsbiquadratic equation
  • Specialized
9.9

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

is the equality form that uses that expression set equal

Surface Forms

biquadratic equation singular
biquadratic equations plural

Morphology

biquadratic + equation

The meaning 'an equation of the fourth degree' is directly and compositionally derived from 'biquadratic' (involving the fourth power) plus 'equation' (a mathematical statement of equality). Despite being technical vocabulary, the compound follows regular morphological and scientific naming patterns, so a learner who knows both constituents can deduce the MWE's meaning.

Etymology

The noun biquadratic equation comes from the parts bi- meaning 'two' and quadratic meaning 'square'. It is like 'square twice' — you square a number and then square the result, so the equation has the unknown to the 'fourth power'.