Quartic Equation
Revision as of 12:28, 10 December 2020 by Vincentwant (talk | contribs) (Created page with "A quartic equation is an algebraic equation of the form <math>ax^4 + bx^3 + cx^2 + dx + e = 0.</math> These types of equations are extremely hard to solve; however, there ar...")
A quartic equation is an algebraic equation of the form
These types of equations are extremely hard to solve; however, there are very clever methods for solving them by bringing it down to a cubic. I am going to list the simplest of the five.
Solving Quartic Equations
Look in the "TLDR" section for the final result of each step.
Bringing it down to a depressed quartic
Start with the equation Divide both sides by a: Now, convert to a depressed quartic by substituting . You now have:
Now you have a depressed quartic: where , and .
Ferrari's Solution
Coming soon!