当x+y=5,xy=2,(x-y)等于几?

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/02 12:21:39
当x+y=5,xy=2,(x-y)等于几?

当x+y=5,xy=2,(x-y)等于几?
当x+y=5,xy=2,(x-y)等于几?

当x+y=5,xy=2,(x-y)等于几?
(x+y)²=5²
x²+y²+2xy=25
x²+y²=25-2xy=21
(x-y)²
=x²+y²-2xy
=21-4
=17
所以x-y=-√17或√17

X+Y=5,XY=2
(X-Y)²=(X+Y)²-4XY=25-8=17
X-Y=±√17

(x-y)²
=x²+y²-2xy
=x²+y²+2xy-4xy
=(x+y)²-4xy
=25-8
=17
∴x-y= ±√17

(x+y)^2=x^2+2xy+y^2
(x-y)^2
=x^2+2xy+y^2-4xy
=(x+y)^2-4xy
=25-8
=17

我是你数学老师···这么做是不对的··