一道解方程组的题目
问题描述:
一道解方程组的题目
解方程组:{y=x+m
{x^2+2y^2=1
答
将y=x+m代入下式得:x^2+2(x+m)^2=1x^2+2(x^2+2xm+m^2)=1x^2+2x^2+4xm+2m^2=13x^2+4xm+2m^2-1=03x^2+4xm+m^2+m^2-1=0(3x+m)(x+m)+(m+1)(m-1)=0当m=1时,原式=(3x+m)(x+m)=0,x=-1/3或x=-1当m=-1时,原式=(3x+m)(x+m)=0,...