呢題有得解 ？ ↓↓↓↓
x^5+x^6=-243x-243
解高次方程?
2012-04-07 6:24 pm
回答 (3)
2012-04-07 6:54 pm
✔ 最佳答案
x^5 + x^6 = -243x - 243==> x^6 + x^5 + 243x + 243 = 0
==> x^5(x + 1) + 243(x + 1) = 0
==> (x + 1)(x^5 + 243) = 0
==> x + 1 = 0 或 x^5 + 243 = 0
==> x = -1 或 x^5 = -243 = (-3)^5
所以,
x = -1 或 -3 (實數解)
(ps. 若包括虛數, 它有 6 個解.)
2012-04-08 2:29 am
x^5+x^6=-243x-243
x^5(x+1)=-243(x+1)
x^5=-243
x=-3
x^5(x+1)=-243(x+1)
x^5=-243
x=-3
2012-04-07 6:50 pm
x^5+x^6=-243x-243
x^5(x+1)= -243(x+1)
x^5 =-243
x=-3
x^5(x+1)= -243(x+1)
x^5 =-243
x=-3
收錄日期: 2021-04-13 18:36:49
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20120407000051KK00162