(y/x+5)*(y/x-5)=-4/9的化简将它化成椭圆的标准方程,x^2/25+{y^2/(100/9)=1,谢恩!

Question

(y/x+5)*(y/x-5)=-4/9的化简
将它化成椭圆的标准方程,x^2/25+{y^2/(100/9)=1,谢恩!

Answer 1

[y/(x+5)]*[y/(x-5)]=(y^2)/(x^2-25)=-4/9,所以得9(y^2)=-4(x^2)+100即9y^2+4x^2=100即可得化简之后的式子（两边同除以100）