一道英文数学题thegraphofx^2+xy+y^2=3intersectsthegraphofx+xy+y=-1inkdistinctpoints.what'sthevalueof

Question

一道英文数学题
the graph of x^2 +xy+ y^2=3 intersects the graph of x+xy+y= -1 in k distinct points.what's the value of

Answer 1

曲线x^2 +xy+ y^2=3和x+xy+y= -1交于点k,求k的值.
x+xy+y=-1
y(x+1)=-1-x
y=-1
将y=-1代入函数x^2 +xy+ y^2=3,
x^2 -x+ 1=3
x^2 -x-2=0
（x+1）(x-2)=0
x=-1 或 x=2
所以 k=(-1,-1) 或 k=(2,-1)