x^2-x+1>-2m^2-2mx
xx+(2m-1)x+1+2mm>0
f(x)=xx+(2m-1)x+1+2mm
f(x)min=1+2mm-(2m-1)^2/4
=1+2mm-(mm-m+1/4)
=(1/4+mm+m)+1/2>0
x^2-x+1>-2m^2-2mx
x^2-x+1>-2m^2-2mx
xx+(2m-1)x+1+2mm>0
f(x)=xx+(2m-1)x+1+2mm
f(x)min=1+2mm-(2m-1)^2/4
=1+2mm-(mm-m+1/4)
=(1/4+mm+m)+1/2>0
x^2-x+1>-2m^2-2mx