21. Let the cubic equation be given by 22. The solutions of the cubic equation do not necessarily belong to the same field as the coefficients. 23. So yes, complex numbers are inevitably involved in algebraically writing the solutions of your original cubic equation . 24. If not, the van der Waals gas equation can be arranged into a cubic equation in Vm. 25. That problem led to a cubic equation , 26. :See cubic equation # Reduction to a depressed cubic BiaBy 20 : 10, 20 December 2015 ( UTC) 27. Khayy�m's work can be considered the first systematic study and the first exact method of solving cubic equations . 28. Specifically, the depressed monic cubic equation t ^ 3 + pt + q = 0 is solved by 29. Du Sautoy then considers cubic equations . 30. Since cubic equations and quadratic equations are somewhat similar, do cubic equations also have a discriminant and formula?
