thematica Edit Insert Format Cell Graphics Evaluation Palettes Window Help Lesson3.nb Aa 150% ~ ? Style Alignment Fonts Magnification Print Help MATHEMATICA | STUDENT EDITION Learning Center | Wolfram Community | Help Problem 3 Find the solutions to the general cubic ax + bx + cx + d=0 and the solutions to the general quartic ax +bx +cx +dx+e =0. Remember to put a space between your letters. The solutions to the general quartic goes on for two pages it is a good idea to maximize your page to see it. It is a theorem in modern abstract algebra that there is no solution to the general quintic in terms of radicals. x / . Solve x5 + 2x + 1 == 0, x] { Root 1 + 2 #1 + #15 &, 1] , Root 1 + 2 #1 + #15 &, 2] , Root [ 1 + 2 #1 + #15 &, 3], Root 1 + 2 #1 + #15 &, 4] , Root [ 1 + 2 #1 + #15 &, 5]} sol = {Root [1 + 2 #1 + #15 &, 1] , Root [1 + 2 #1 + #15 &, 2], Root [ 1 + 2 #1 + #15 &, 3] , Root [ 1 + 2 #1 + #15 & , 4] , Root [ 1 + 2 #1 + #15 & , 5] } Root 1 + 2 #1 + #15 & , 1] , Root 1 + 2 #1 + #15 &, 2 , Root 1 + 2 #1 + #15 &, 3], Attached Files: " Lesson4.nb (157.528 KB) Man 6 MacBook Air