Question

求下列直线和双曲线的交点坐标2x-y-10=0,x的平方/20-y的平方/5=1

Answer 1

2x-y-10=0

y=2x-10

x^2/20-y^2/5=1

x^2-4y^2=20

x^2-4(2x-10)^2=20

-15x^2+160x-400=20

x=6,14/3

y=2,-2/3

直线和双曲线的交点坐标:(6,2),(14/3,-2/3)