how to find out t =? from
32t^(6)-6t^(2)-1 = 0
maths 32t^(6)-6t^(2)-1 = 0
2013-01-06 4:59 am
回答 (2)
2013-01-08 2:24 am
✔ 最佳答案
how to find out t =? From 32t^6－6t^2－1 = 0Sol
Set p=t^2
32p^3－6p－1=0
(16p^2+8p+1)(2p－1)=0
(4p+1)^2(2p－1)=0
(4t^2+1)^2(2t^2－1)=0
t=i/2(重根) or t=－i/2(重根) or t=√2/2 or t=－√2/2
2013-01-06 6:27 am
LHS=(2t^2-1)(4t^2+1)^2=0
2t^2-1=0
t=+-1/sqrt(2)
4t^2+1=0
t=+-i/2
2t^2-1=0
t=+-1/sqrt(2)
4t^2+1=0
t=+-i/2
參考: Wolframalpha
收錄日期: 2021-04-28 14:13:05
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20130105000051KK00381