In 1758 Bézout was elected an adjoint in mechanics of the French Academy of Sciences. Besides numerous minor works, he wrote a Théorie générale des équations algébriques, published at Paris in 1779, which in particular contained much new and valuable matter on the theory of elimination and symmetrical functions of the roots of an equation: he used determinants in a paper in the Histoire de l'académie royale, 1764, but did not treat the general theory.