數學知識交流 － 求值
回答 (2)
2012-05-28 12:43 am
✔ 最佳答案
x³ - (3√2)x² + 6x - 2√2 - 8 = 0(x - √2)³ - 8 = 0
實根 x = 2 + √2
x² = 6 + 4√2
x⁴= 68 + 48√2
x⁵ = (68 + 48√2)(2 + √2) = 232 + 164√2
∴ x⁵ - 41x² + 2012
= 232 + 164√2 - 41(6 + 4√2) + 2012
= 1998
2012-05-28 3:58 am
Should complex solutions be included?
收錄日期: 2021-04-13 18:42:50
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20120527000051KK00126