作者ttinff (mmmm)
看板Math
標題Re: [中學代數一題.....
時間Tue May 17 10:51:30 2011
※ 引述《adamchi (adamchi)》之銘言:
: 設n為正整數,且滿足 25n^2+24n+34 等於相鄰兩個正整數的乘積
: 則n=_____
: 麻煩大家~~
(5n+3)^2 = 25n^2 +30n+ 9
(5n+2)^2 = 25n^2 +20n+ 4
=> 25n^2 + 24n +34 = (5n+2)(5n+3)
= 25n^2 +25n +6
=> n= 28
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推 jeff413 :2也可以 05/17 11:39
推 a016258 :(5n+m)(5n+m+1) , m=0.1.2.3.4 05/17 12:11
推 jeff413 :應該只要看2.3.4就可以了 05/17 12:48
推 tsaifc :17898 05/17 14:53
→ ttinff :拍謝~欠考慮...XD 05/17 17:18