已知实数x不等于1,求代数式x2-x/x+1的取值范围

求导即可y=(x^2-x)/(x+1)y'=[(2x-1)(x+1)-(x^2-x)]/(x+1)^2=0(2x-1)(x+1)-(x^2-x)=02x^2+x-1=x^2-xx^2+2x-1=0x=-1+根号2或-1-根号2y=(4-3根号2)/(根号2)=2根号2-3或y=(4+3根号2)/(-根号2)=-2根号2-3所以取值范围是(-...