已知x-y=5,(x+y)平方=49,求x平方+y平方的值

2025-02-28 15:02:45
推荐回答(2个)
回答1:

x-y=5;(x-y)2=25
(x-y)2=x2-2xy+y2=25; (x+y)2=x2+2xy+y2= 49
(x-y)2+(x+y)2=25+49
x2-2xy+y2+x2+2xy+y2=74
2(x2+y2)=74
x2+y2=37

回答2:

x-y=5
x²-2xy+y²=25(1)
(x+y)²=49
x²+2xy+y²=49(2)
(1)+(2)
2x²+2y²=74
x²+y²=37