biquadratic

American  

[bahy-kwo-drat-ik] / ˌbaɪ kwɒˈdræt ɪk /

adjective

1. involving the fourth, but no higher, power of the unknown or variable.

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noun

1. quartic.

2. biquadrate.

biquadratic British  

/ ˌbaɪkwɒˈdrætɪk /

adjective

1. of or relating to the fourth power

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noun

1. a biquadratic equation, such as x ⁴ + x + 6 = 0

Etymology

Origin of biquadratic

First recorded in 1655–65; bi- ¹ + quadratic

Example Sentences

Next to pure biquadratic equations, in respect of easiness of resolution, are such as want the second and fourth terms, and therefore have this form, x4 + qx� + s = 0.

From Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 7 "Equation" to "Ethics" by Various

Equations of the first degree are called simple or linear; of the second, quadratic; of the third, cubic; of the fourth, biquadratic; of the fifth, quintic, and so on.

From Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 7 "Equation" to "Ethics" by Various

Thus the square root of 81 is 9, and the square root of 9 is 3, which is the biquadratic root of 81.

From Webster's Unabridged Dictionary (2nd 100 Pages) by Webster, Noah

For n = 4, the biquadratic equation is solved with the help of the solution of the cubic.

From The New Gresham Encyclopedia Volume 4, Part 2: Ebert to Estremadura by Various

When a biquadratic equation contains all its terms, it has this form, x4 + Ax� + Bx� + Cx + D = 0, where A, B, C, D denote known quantities.

From Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 7 "Equation" to "Ethics" by Various