搜狗做题网解方程：(2-x)(3-x)(5-x)=51
来源：学生作业帮 编辑：搜狗做题网作业帮 分类：数学作业 时间：2024/04/29 21:25:10
解方程：(2-x)(3-x)(5-x)=51
x1 = 1/3 (10 -
7 (2/(1357 - 9 √[22717]))^(
1/3) - (1/2 (1357 - 9 √[22717]))^(1/3));
x 2 =
10/3 + 1/6 (1 + i √[3]) (1/2 (1357 - 9 √[22717]))^(1/3) + (
7 (1 - i√[3]))/(
3 2^(2/3) (1357 - 9 √[22717])^(1/3));
x =
10/3 + 1/6 (1 - i √[3]) (1/2 (1357 - 9 √[22717]))^(1/3) + (
7 (1 + i √[3]))/(3 2^(2/3) (1357 - 9 √[22717])^(1/3))
用Mathematica解的
7 (2/(1357 - 9 √[22717]))^(
1/3) - (1/2 (1357 - 9 √[22717]))^(1/3));
x 2 =
10/3 + 1/6 (1 + i √[3]) (1/2 (1357 - 9 √[22717]))^(1/3) + (
7 (1 - i√[3]))/(
3 2^(2/3) (1357 - 9 √[22717])^(1/3));
x =
10/3 + 1/6 (1 - i √[3]) (1/2 (1357 - 9 √[22717]))^(1/3) + (
7 (1 + i √[3]))/(3 2^(2/3) (1357 - 9 √[22717])^(1/3))
用Mathematica解的
解方程：(2-x)(3-x)(5-x)=51
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