A quartic equation is a fourth-order polynomial equation of the form z^4 + a_3 z^3 + a_2 z^2 + a_1 z + a_0 = 0. While some authors (Beyer 1987b, p. 34) use the term "biquadratic equation" as a synonym for quartic equation, others reserve the term for a quartic equation having no cubic term, i.e., a quadratic equation in x^2. Ferrari was the first to develop an algebraic technique for solving the general quartic, which was stolen and published in Cardano's Ars Magna in 1545. The Wolfram Language can solve quartic equations exactly using the built-in command Solve[a4 x^4 + a3 x^3 + a2 x^2 + a1 x + a0 == 0, x]. The solution can also be expressed in terms of Wolfram Language algebraic root objects by first issuing SetOptions[Roots, Quartics -> False].
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