Definition of cubic equation and how to find roots in math
Answers
Equations of the third degree are called cubic equations. the general from of a cubic is x^3+bx^2+Cx+d =0. cubic equations have 3 possible values for x, at least one of which is real. there are several methods for solving cubic equations. factorisation , rational root theorem, descortes rule of signs, vieta's root theorem and cardano's method is used for the cubic equations that are not easy to solve. to use the method , substitute x = t- a/3 to eliminate the x^2 term. the new equations is x = t-a/3 where t^3+ Pt + q = 0 and t^3+ Pt+ q= 0. once the cubic is reduced to this from ( called the depressed form) , the steps for finding the root are different depending on the different solutions ( all roots are real , some complex , neither, is zero etc).