设正整数m,n满足m

问题描述:

设正整数m,n满足m

你是问如何由1/m-1/(n+1) = 1/23得到m = 22?原来解法这里确实不够严格,比较严格的解法如下.方程化为23(n+1-m) = m(n+1),即mn-23n+24m = 23.左边凑因式分解(m-23)(n+24)+552 = 23,即(m-23)(n+24) = -529 = -23²....