高次方程m⁴+4m³+2m²-9m=0怎么解?
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/24 05:08:49
![高次方程m⁴+4m³+2m²-9m=0怎么解?](/uploads/image/z/2104756-52-6.jpg?t=%E9%AB%98%E6%AC%A1%E6%96%B9%E7%A8%8Bm%26%238308%3B%2B4m%26%23179%3B%2B2m%26%23178%3B-9m%3D0%E6%80%8E%E4%B9%88%E8%A7%A3%3F)
高次方程m⁴+4m³+2m²-9m=0怎么解?
高次方程m⁴+4m³+2m²-9m=0怎么解?
高次方程m⁴+4m³+2m²-9m=0怎么解?
m(m^3+4m^2+2m-9)=0
m=0
或m^3+4m^2+2m-9=0 ,此方程不能再有理分解,可用卡丹公式求之.
得原方程4个根为:
m1=0
m2=1.14266355100833
m3=-2.57133177550417-1.12453861432985i
m4=-2.57133177550417+1.12453861432985i