Name 平方 roots
设 m,n m,n m,n be 正整数 满足 15a+16b=m215a+16b=m^215a+16b=m2 且 16a−15b=n216a-15b=n^216a−15b=n2 译文：. Eliminating b b b 且then a a a 译文： gives 15m2+16n2=481a15m^2+16n^2=481a 15m2+16n2=481a 且 16m2−15n2=481b16m^2-15n^2=481b 16m2−15n2=481b, 其中 481=13⋅37481=13\cdot37481=13⋅37.