(1+x)^6=6.25求解

求笔算开方方法,以此题为例,请把解题过程说详细些!
2025-12-15 09:21:25
推荐回答(1个)
回答1:

设x=cos(2a),则:
(1+x)=1+cos(2a)=2(cos(a))^2;
so:
(2(cos(a))^2)^3=5/2;
(cos(a))^6=5/16;
令cos(a)=b,即: b^6=5/16;然后用第莫弗定理求b,依次反推得x