4️⃣ A fourth-degree equation 4️⃣ Involving fourth power

biquadratic

9.9

Describing an equation that has a variable raised to the fourth power and no higher powers

adjective
/ˌbaɪkwɒdrætɪk/

Specialized

: biquadrática

The formula only works when the polynomial is strictly biquadratic and contains no higher powers.

Examples

We solved the biquadratic equation by substituting a new variable for x squared.
Her research focuses on biquadratic functions and their properties in higher mathematics.
The equation is biquadratic.
A biquadratic polynomial can be factored into two quadratics.
The biquadratic equation can be solved by factoring or using the quadratic formula on its derived components.
Understanding how to graph a biquadratic function helps visualize its unique properties, such as the presence of double roots.
The study of biquadratic expressions is essential for advanced algebra and helps to deepen one's mathematical knowledge.

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 positive

Morphology

biquadratic = quadratic (transparent) = bi + quadratic

Formed by productive prefixation: 'bi-' (doubling) added to 'quadratic' (degree two) yields the expected meaning of degree four.

Etymology

Biquadratic comes from bi- meaning 'two' and quadratic which is about a 'square'. So it means a 'square of a square', which is why a biquadratic expression (an adjective) involves the fourth power and no higher powers.