X-Y=4,X^2-y^2=12.则XY等于?

问题描述:

X-Y=4,X^2-y^2=12.则XY等于?

x²-y²=(x+y)(x-y)
即:12=4(x+y)
得:x+y=3
x+y=3
x-y=4
两式相加得:2x=7,则:x=7/2
所以,y=-1/2
所以,xy=-7/4