Question

已知a.b.c都是正整数,且满足a^2+c^2=10,c^2+b^2=13,求abc的值

Answer 1

将a^2+c^2=10,c^2+b^2=13两式相减

b^2-a^2=3

(b+a)(b-a)=3=1*3

a=1,b=2,c=3