這個(gè)方程貌似沒有實(shí)數(shù)根的.
你看看你的題目有沒有寫錯(cuò),如果沒有寫錯(cuò)的話
我求出的四個(gè)虛根是
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)
x^4--4x^3+3x^2+6=0(x的4次方減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次方減4倍x的3次方加上3倍x的2次方再加6等于0)
數(shù)學(xué)人氣:478 ℃時(shí)間:2019-08-17 17:38:37
優(yōu)質(zhì)解答
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