Question

高次方程m⁴+4m³+2m²-9m=0怎么解?

Answer 1

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