摘要
任意的一个一元四次方程通过换元,总可以化为一个不含三次项的方程4+2++=0,总可以找到一个三次方程3+22+(24)2=0的根该四次方程根相关。任意一个一元三次方程通过换元,总可以化为一个不含二次项的方程3++=0。方程3++=0的解法可以通过换元与利用恒等式来解。这样一元四次、三次方程的求根的核心问题为求解不含二次项的三次方程3++=0的问题。
Arbitrary one yuan four times equations through substitution, the total can be reduced to an equation without three items）/＋ p）/＋ qy ＋ r = 0, you can always find a root of the cubic equation roots associated quartic equafionz3 ＋ 2pz~ ＋ （p2-4r） z-q2 = 0. Any one yuan per cubic equation by changing the total can be reduced to a quadratic equation）/＋py ＋ q = 0. Equation ）/＋py ＋ q -- 0 solution can be solved by substitution and use identities. This one yuan four times, three times the core problem finding roots of equations to solve quadratic terms of cubic equations）/＋py ＋ q = 0 without problems.
出处
《科教导刊》
2013年第28期204-205,共2页
The Guide Of Science & Education
关键词
四次
三次方程
换元法
恒等式
four times
three times equation
substitution
identity
