o數一條問題 a+1/a+1/a+1/....... 想試試自己的o數身手就來吧!

2008-09-13 8:21 pm
a+1/a+1/a+1/a+1...................當中/=over咁解 例如3/9=1/3
當中只有1比人over a是冇比人over的 請留意
即 2+3/3=2+1=3 咁 前個個2冇比人over的
更新1:

請用中文解說THX 因為我係中文學校,睇唔明英文...及請'長詳解說個中步驟'多謝哂

回答 (1)

2008-09-13 10:18 pm
✔ 最佳答案
a+ 1/a + 1/a + 1/a ..... = x. Therefore,
a + 1/x = x
x^2 = ax + 1
x^2 - ax -1 = 0
x = [a +/- sqrt(a^2 +4)]/2

2008-09-13 14:24:50 補充:
Note: x=[ a - sqrt(a^2 +4)]/2 is rej. if a > 0 because sqrt(a^2 + 4) > a.

2008-09-14 08:12:34 補充:
a + 1/x = x. Multiply all terms by x, we get ax + 1 = x^2 (x^2 means x square). This is a quadratic equation with roots as stated. sqrt means square root.


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