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众所周知,一元四次方程有根式解法,即费拉里(Ferrari)解法,此解法亦称差分配方法。此方法是受一元三次方程求解方法的启发而得到的。一元三次方程是在进行了巧妙的换元之后,把问题归结成一元二次方程得解的。如果能够巧妙地把一元四次方程转化为一元三次方程或一元二次方程,就可以利用已知的公式来求解。本文利用待定系数法解一元四次方程。1引理
It is well-known that a quadratic equation has a radical solution, that is, a Ferrari solution. This solution is also called a differential assignment method. This method is inspired by a one-dollar cubic equation solving method. One dollar cubic equation is a clever change yuan, the problem attributed to a dollar quadratic equation can be solved. If you can cleverly convert a quadratic quadratic equation into a cubic equation or a quadratic equation, you can use the known formula to solve. In this paper, undetermined coefficients are used to solve a quadratic equation. 1 Lemma