已知m属于R,x属于R,比较x^2-x+1与-2m^2-2mx的大小
热心网友
用相减法来做x^2-x+1-(-2m^2-2mx)=x^2+(2m-1)x+(1+2m^2)判别式=(2m-1)^2-4(1+2m^2) =-4m^2-4m-3 =-(2m+1)^2-2恒小于0,所以 x^2-x+1大于-2m^2-2mx
已知m属于R,x属于R,比较x^2-x+1与-2m^2-2mx的大小
用相减法来做x^2-x+1-(-2m^2-2mx)=x^2+(2m-1)x+(1+2m^2)判别式=(2m-1)^2-4(1+2m^2) =-4m^2-4m-3 =-(2m+1)^2-2恒小于0,所以 x^2-x+1大于-2m^2-2mx