若m、n是整數(shù),且n²+3m²n²=30m²+517,則3m²n²的值為（ ）
若m、n是整數(shù),且n²+3m²n²=30m²+517,則3m²n²的值為（ ）
其他人氣：432 ℃時(shí)間：2020-04-13 17:04:42
優(yōu)質(zhì)解答
n²+3m²n²=30m²+517n^2+3m^2n^2-30m^2=517n^2+3m^2(n^2-10)=517n^2-10+3m^2(n^2-10)=517-10(3m^2+1)(n^2-10)=507=3*13*13n^2-10=39,3m^2+1=13n^2=49,m^2=43m²n²=3*4*49=588
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