Re: [中學代數一題.....
※ 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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