tag:blogger.com,1999:blog-5376628436133716219.post8029732726782267637..comments2024-03-28T14:45:46.850-07:00Comments on Why I hate physics: Why You Can't Solve the Quintic EquationMarty Greenhttp://www.blogger.com/profile/17624084719249673373noreply@blogger.comBlogger1125tag:blogger.com,1999:blog-5376628436133716219.post-45999878678776439132023-01-01T00:15:55.760-08:002023-01-01T00:15:55.760-08:00For the cubic, you can have AB, AC, and, BC. My P...For the cubic, you can have AB, AC, and, BC. My Product Method for solving the cubic by completing the cube is based on this. Look at the following:<br />T1 = -(R2 - z)(R3 - z); T2 = -(R1 - z)(R3 - z); T3 = -(R1 - z)(R2 - z)<br /><br />R1, R2, R3 are the roots of the original cubic.<br />z is the shift that these roots are put through in the first part of the transformation.<br />T1, T2, T3 are the roots of the completely transformed cubic that can be solved by completing the cube.Paul Torreshttps://www.blogger.com/profile/18159593455893794921noreply@blogger.com