Does anyone know of the formulas for roots of higher order polynomials (3+)? We learned the quadratic formula in grade school but never heard of formulas for higher polynomials.. do they exist?
>>4
What is the basic idea behind the proof that no formula exists for quintics and above? In other words, what is the common characteristic of these equations that makes them formula-constructible for up to quartics inclusive, yet not beyond that complexity?
Making the 4th power of complexity the demarcation point just seems like an arbitrary thing.