Question

x的平方-y的平方=24,求xy(x+y)的值

Answer 1

x^2-y^2=24

(x-y)(x+y)=24

x+y>0

x-y>0

x-y=1,x+y=24经检验不符合正整数x与y

x-y=2,x+y=12

x=7,y=5

xy(x+y)=420

x-y=3,x+y=8经检验不符合正整数x与y

x-y=4,x+y=6

x=5,y=1

xy(x+y)=30

x-y=8,x+y=3经检验不符合正整数x与y

x-y=12,x+y=2,经检验不符合正整数x与y

x-y=24,x+y=1经检验不符合正整数x与y