[size=85] Extremize a function of two variables f(x,y) =2x[sup]2[/sup]+2y[sup]2[/sup]+8 under a constraint qiven by equality g: x[sup]2[/sup]+2y[sup]2[/sup]-6x=7. CAS and ggB solutions are compared. The critical points of the corresponding Lagrangian, its global maximum and minimum are determined.[/size]