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

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

From Project Gutenberg

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

From Project Gutenberg

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 Project Gutenberg

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 Project Gutenberg

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 Project Gutenberg