biquadratic

[ bahy-kwo-drat-ik ]

adjective

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

noun

1. quartic ( def 2 ).
2. biquadrate.

biquadratic

/ ˌbaɪkwɒˈdrætɪk /

adjective

1. of or relating to the fourth power

noun

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

Word History and Origins

Origin of biquadratic¹

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

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 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