-7+x+2x^2+6x^3+4x^4=0没有抄错题啊,就是这个四次方程
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-7+x+2x^2+6x^3+4x^4=0没有抄错题啊,就是这个四次方程
-7+x+2x^2+6x^3+4x^4=0
没有抄错题啊,就是这个四次方程
-7+x+2x^2+6x^3+4x^4=0没有抄错题啊,就是这个四次方程
用数学软件Solve[4 x^4 + 6 x^3 + 2 x^2 + x - 7 == 0,x]:{{x -> -(3/8) +
1/2 Sqrt[
11/48 + (-689 + 9 Sqrt[138191])^(1/3)/(6 2^(2/3)) - 175/(
6 (2 (-689 + 9 Sqrt[138191]))^(1/3))] -
1/2 \[Sqrt](11/24 - (-689 + 9 Sqrt[138191])^(1/3)/(6 2^(2/3)) +
175/(6 (2 (-689 + 9 Sqrt[138191]))^(1/3)) - 19/(
32 Sqrt[11/48 + (-689 + 9 Sqrt[138191])^(1/3)/(6 2^(2/3)) -
175/(6 (2 (-689 + 9 Sqrt[138191]))^(1/3))]))},{x -> -(3/
8) + 1/2 Sqrt[
11/48 + (-689 + 9 Sqrt[138191])^(1/3)/(6 2^(2/3)) - 175/(
6 (2 (-689 + 9 Sqrt[138191]))^(1/3))] +
1/2 \[Sqrt](11/24 - (-689 + 9 Sqrt[138191])^(1/3)/(6 2^(2/3)) +
175/(6 (2 (-689 + 9 Sqrt[138191]))^(1/3)) - 19/(
32 Sqrt[11/48 + (-689 + 9 Sqrt[138191])^(1/3)/(6 2^(2/3)) -
175/(6 (2 (-689 + 9 Sqrt[138191]))^(1/3))]))},{x -> -(3/
8) - 1/2 Sqrt[
11/48 + (-689 + 9 Sqrt[138191])^(1/3)/(6 2^(2/3)) - 175/(
6 (2 (-689 + 9 Sqrt[138191]))^(1/3))] -
1/2 \[Sqrt](11/24 - (-689 + 9 Sqrt[138191])^(1/3)/(6 2^(2/3)) +
175/(6 (2 (-689 + 9 Sqrt[138191]))^(1/3)) + 19/(
32 Sqrt[
11/48 + (-689 + 9 Sqrt[138191])^(1/3)/(6 2^(2/3)) - 175/(
6 (2 (-689 + 9 Sqrt[138191]))^(1/3))]))},{x -> -(3/8) -
1/2 Sqrt[
11/48 + (-689 + 9 Sqrt[138191])^(1/3)/(6 2^(2/3)) - 175/(
6 (2 (-689 + 9 Sqrt[138191]))^(1/3))] +
1/2 \[Sqrt](11/24 - (-689 + 9 Sqrt[138191])^(1/3)/(6 2^(2/3)) +
175/(6 (2 (-689 + 9 Sqrt[138191]))^(1/3)) + 19/(
32 Sqrt[11/48 + (-689 + 9 Sqrt[138191])^(1/3)/(6 2^(2/3)) -
175/(6 (2 (-689 + 9 Sqrt[138191]))^(1/3))]))}}
这是mathematica的运行结果
强烈怀疑你抄错题了。。。否则答案是个很复杂的数。。恩
该多元四次方程用一般的人工计算的办法是非常麻烦的!需要借z助mathmatica,matlab软件进行计算我算了一下,运行结果为:{{x -> -(3/8) +
1/2 Sqrt[
11/48 + (-689 + 9 Sqrt[138191])^(1/3)/(6 2^(2/3)) - 175/(
6 (2 (-689 + 9 Sqrt[138...
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该多元四次方程用一般的人工计算的办法是非常麻烦的!需要借z助mathmatica,matlab软件进行计算我算了一下,运行结果为:{{x -> -(3/8) +
1/2 Sqrt[
11/48 + (-689 + 9 Sqrt[138191])^(1/3)/(6 2^(2/3)) - 175/(
6 (2 (-689 + 9 Sqrt[138191]))^(1/3))] -
1/2 \[Sqrt](11/24 - (-689 + 9 Sqrt[138191])^(1/3)/(6 2^(2/3)) +
175/(6 (2 (-689 + 9 Sqrt[138191]))^(1/3)) - 19/(
32 Sqrt[11/48 + (-689 + 9 Sqrt[138191])^(1/3)/(6 2^(2/3)) -
175/(6 (2 (-689 + 9 Sqrt[138191]))^(1/3))]))}, {x -> -(3/
8) + 1/2 Sqrt[
11/48 + (-689 + 9 Sqrt[138191])^(1/3)/(6 2^(2/3)) - 175/(
6 (2 (-689 + 9 Sqrt[138191]))^(1/3))] +
1/2 \[Sqrt](11/24 - (-689 + 9 Sqrt[138191])^(1/3)/(6 2^(2/3)) +
175/(6 (2 (-689 + 9 Sqrt[138191]))^(1/3)) - 19/(
32 Sqrt[11/48 + (-689 + 9 Sqrt[138191])^(1/3)/(6 2^(2/3)) -
175/(6 (2 (-689 + 9 Sqrt[138191]))^(1/3))]))}, {x -> -(3/
8) - 1/2 Sqrt[
11/48 + (-689 + 9 Sqrt[138191])^(1/3)/(6 2^(2/3)) - 175/(
6 (2 (-689 + 9 Sqrt[138191]))^(1/3))] -
1/2 \[Sqrt](11/24 - (-689 + 9 Sqrt[138191])^(1/3)/(6 2^(2/3)) +
175/(6 (2 (-689 + 9 Sqrt[138191]))^(1/3)) + 19/(
32 Sqrt[
11/48 + (-689 + 9 Sqrt[138191])^(1/3)/(6 2^(2/3)) - 175/(
6 (2 (-689 + 9 Sqrt[138191]))^(1/3))]))}, {x -> -(3/8) -
1/2 Sqrt[
11/48 + (-689 + 9 Sqrt[138191])^(1/3)/(6 2^(2/3)) - 175/(
6 (2 (-689 + 9 Sqrt[138191]))^(1/3))] +
1/2 \[Sqrt](11/24 - (-689 + 9 Sqrt[138191])^(1/3)/(6 2^(2/3)) +
175/(6 (2 (-689 + 9 Sqrt[138191]))^(1/3)) + 19/(
32 Sqrt[11/48 + (-689 + 9 Sqrt[138191])^(1/3)/(6 2^(2/3)) -
175/(6 (2 (-689 + 9 Sqrt[138191]))^(1/3))]))}}
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