不等号4!1x>1求y=(2x^2-2x+1)/(1-x)最大值-2根号2-2

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不等号4!1
x>1
求y=(2x^2-2x+1)/(1-x)最大值
-2根号2-2

y=-(2x^2-2x+1)/(x-1)
=-[2(x-1)^2+2(x-1)+1]/(x-1)
=-[2(x-1)+1/(x-1)+2]≤-[2√2+2]=-2根号2-2