數學根式的簡化問題

2008-03-26 10:36 pm
請簡化下面網頁所顯示的算式:
http://farm3.static.flickr.com/2129/2362677581_076ee48ab8_m.jpg
必須列明步驟.

Simplify the expression in the following webpage:
http://farm3.static.flickr.com/2129/2362677581_076ee48ab8_m.jpg
Steps are necessary.

回答 (1)

2008-03-27 3:55 am
✔ 最佳答案
首先let x be the polynomial 開3次方[7 5x2^(1/2)] 開3次方[7-5x2^(1/2)]
及let 上面呢個係a 上面呢個係b

i.e. x=a b
then, 兩邊3次...x^3=(a b)^3

將(a b)^3 展開再d數式代返入去會計到...(因為打晒出黎會搞到亂晒所以唔打你自己呢d應該識,我主要講d難諗d既幫你諗)

就會計到x^3=14-3x solve出x=2,即係話...a b=2,
所以最後答案係...2 2x2^(1/2)


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