t^3-4t^2+3t-1=0

来源:百度知道 编辑:UC知道 时间:2024/06/08 02:42:38
如何求解 结果?

用MATLAB可以求得它的3个解,
1个实数解,2个复数解,
t^3-4t^2+3t-1=0

>> syms t;
>> solve(t^3-4*t^2+3*t-1,t)

ans =

[ 1/6*(188+12*93^(1/2))^(1/3)+14/3/(188+12*93^(1/2))^(1/3)+4/3]
[ -1/12*(188+12*93^(1/2))^(1/3)-7/3/(188+12*93^(1/2))^(1/3)+4/3+1/2*i*3^(1/2)*(1/6*(188+12*93^(1/2))^(1/3)-14/3/(188+12*93^(1/2))^(1/3))]
[ -1/12*(188+12*93^(1/2))^(1/3)-7/3/(188+12*93^(1/2))^(1/3)+4/3-1/2*i*3^(1/2)*(1/6*(188+12*93^(1/2))^(1/3)-14/3/(188+12*93^(1/2))^(1/3))]

>> numeric(ans)

ans =

3.1479
0.4261 + 0.3690i
0.4261 - 0.3690i

>>