x^4--4x^3+3x^2+6=0(x的4次方减4倍x的3次方加上3倍x的2次方再加6等于0)
来源:学生作业帮助网 编辑:作业帮 时间:2024/08/16 01:48:57
![x^4--4x^3+3x^2+6=0(x的4次方减4倍x的3次方加上3倍x的2次方再加6等于0)](/uploads/image/z/23870-38-0.jpg?t=x%5E4--4x%5E3%2B3x%5E2%2B6%3D0%EF%BC%88x%E7%9A%844%E6%AC%A1%E6%96%B9%E5%87%8F4%E5%80%8Dx%E7%9A%843%E6%AC%A1%E6%96%B9%E5%8A%A0%E4%B8%8A3%E5%80%8Dx%E7%9A%842%E6%AC%A1%E6%96%B9%E5%86%8D%E5%8A%A06%E7%AD%89%E4%BA%8E0%EF%BC%89)
x^4--4x^3+3x^2+6=0(x的4次方减4倍x的3次方加上3倍x的2次方再加6等于0)
x^4--4x^3+3x^2+6=0(x的4次方减4倍x的3次方加上3倍x的2次方再加6等于0)
x^4--4x^3+3x^2+6=0(x的4次方减4倍x的3次方加上3倍x的2次方再加6等于0)
这个方程貌似没有实数根的.
你看看你的题目有没有写错,如果没有写错的话
我求出的四个虚根是
x=
1+1/2*((2*(25+2*i*26^(1/2))^(1/3)+(25+2*i*26^(1/2))^(2/3)+9)/(25+2*i*26^(1/2))^(1/3))^(1/2)+1/2*(-(-4*(25+2*i*26^(1/2))^(1/3)*((2*(25+2*i*26^(1/2))^(1/3)+(25+2*i*26^(1/2))^(2/3)+9)/(25+2*i*26^(1/2))^(1/3))^(1/2)+((2*(25+2*i*26^(1/2))^(1/3)+(25+2*i*26^(1/2))^(2/3)+9)/(25+2*i*26^(1/2))^(1/3))^(1/2)*(25+2*i*26^(1/2))^(2/3)+9*((2*(25+2*i*26^(1/2))^(1/3)+(25+2*i*26^(1/2))^(2/3)+9)/(25+2*i*26^(1/2))^(1/3))^(1/2)-4*(25+2*i*26^(1/2))^(1/3))/(25+2*i*26^(1/2))^(1/3)/((2*(25+2*i*26^(1/2))^(1/3)+(25+2*i*26^(1/2))^(2/3)+9)/(25+2*i*26^(1/2))^(1/3))^(1/2))^(1/2)
1+1/2*((2*(25+2*i*26^(1/2))^(1/3)+(25+2*i*26^(1/2))^(2/3)+9)/(25+2*i*26^(1/2))^(1/3))^(1/2)-1/2*(-(-4*(25+2*i*26^(1/2))^(1/3)*((2*(25+2*i*26^(1/2))^(1/3)+(25+2*i*26^(1/2))^(2/3)+9)/(25+2*i*26^(1/2))^(1/3))^(1/2)+((2*(25+2*i*26^(1/2))^(1/3)+(25+2*i*26^(1/2))^(2/3)+9)/(25+2*i*26^(1/2))^(1/3))^(1/2)*(25+2*i*26^(1/2))^(2/3)+9*((2*(25+2*i*26^(1/2))^(1/3)+(25+2*i*26^(1/2))^(2/3)+9)/(25+2*i*26^(1/2))^(1/3))^(1/2)-4*(25+2*i*26^(1/2))^(1/3))/(25+2*i*26^(1/2))^(1/3)/((2*(25+2*i*26^(1/2))^(1/3)+(25+2*i*26^(1/2))^(2/3)+9)/(25+2*i*26^(1/2))^(1/3))^(1/2))^(1/2)
1-1/2*((2*(25+2*i*26^(1/2))^(1/3)+(25+2*i*26^(1/2))^(2/3)+9)/(25+2*i*26^(1/2))^(1/3))^(1/2)+1/2*(-(-4*(25+2*i*26^(1/2))^(1/3)*((2*(25+2*i*26^(1/2))^(1/3)+(25+2*i*26^(1/2))^(2/3)+9)/(25+2*i*26^(1/2))^(1/3))^(1/2)+((2*(25+2*i*26^(1/2))^(1/3)+(25+2*i*26^(1/2))^(2/3)+9)/(25+2*i*26^(1/2))^(1/3))^(1/2)*(25+2*i*26^(1/2))^(2/3)+9*((2*(25+2*i*26^(1/2))^(1/3)+(25+2*i*26^(1/2))^(2/3)+9)/(25+2*i*26^(1/2))^(1/3))^(1/2)+4*(25+2*i*26^(1/2))^(1/3))/(25+2*i*26^(1/2))^(1/3)/((2*(25+2*i*26^(1/2))^(1/3)+(25+2*i*26^(1/2))^(2/3)+9)/(25+2*i*26^(1/2))^(1/3))^(1/2))^(1/2)
1-1/2*((2*(25+2*i*26^(1/2))^(1/3)+(25+2*i*26^(1/2))^(2/3)+9)/(25+2*i*26^(1/2))^(1/3))^(1/2)-1/2*(-(-4*(25+2*i*26^(1/2))^(1/3)*((2*(25+2*i*26^(1/2))^(1/3)+(25+2*i*26^(1/2))^(2/3)+9)/(25+2*i*26^(1/2))^(1/3))^(1/2)+((2*(25+2*i*26^(1/2))^(1/3)+(25+2*i*26^(1/2))^(2/3)+9)/(25+2*i*26^(1/2))^(1/3))^(1/2)*(25+2*i*26^(1/2))^(2/3)+9*((2*(25+2*i*26^(1/2))^(1/3)+(25+2*i*26^(1/2))^(2/3)+9)/(25+2*i*26^(1/2))^(1/3))^(1/2)+4*(25+2*i*26^(1/2))^(1/3))/(25+2*i*26^(1/2))^(1/3)/((2*(25+2*i*26^(1/2))^(1/3)+(25+2*i*26^(1/2))^(2/3)+9)/(25+2*i*26^(1/2))^(1/3))^(1/2))^(1/2)