Question

双曲线y=-4/x与抛物线y=x^2-2x-2的交点坐标是

Answer 1

y=-4/x=x^2-2x-2

x^3-2x^2-2x+4=0

x^2(x-2)-2(x-2)=0

(x^2-2)(x-2)=0

x=±√2,x=2

代入y=-4/x

所以交点是(-√2,2√2),(√2,-2√2),(2,-2)