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

See Examples For:

biquadratic

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

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 has all its terms, its resolution may be always reduced to that of a cubic equation.

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

The solution of cubic and of biquadratic equations, at first only in certain particular forms, but later in all forms, was mastered by Tartaglia and Cardan.

From The Age of the Reformation by Smith, Preserved