已知-m+4m^2+2^nm^2+2^n+5=0,且m,n均为正整数求m,n的值_数学解答

已知-m+4m^2+2^nm^2+2^n+5=0,且m,n均为正整数求m,n的值

人气：443 ℃　时间：2019-11-04 11:19:04

解答

-M^4+4M^2+2^N*M^2+2^N+5=0 M^4-4M^2-2^N*M^2-2^N-5=0 (M^4-4M^2+4)-(2^N*M^2+2^N)-9=0 (M^2-2)^2-3^2-2^N(M^2+1)=0 (M^2-2+3)(M^2-2-3)-2^N(M^2+1)=0 (M^2+1)(M^2-5)-2^N(M^2+1)=0 (M^2+1)(M^2-5-2^N)=0 M^2+1>0 所...