证明(1-x)^2≥4y(x-y-1)

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证明(1-x)^2≥4y(x-y-1)证明(1-x)^2≥4y(x-y-1)证明(1-x)^2≥4y(x-y-1)解由(1-x)^2-4y(x-y-1)=(1-x)^2+4y(1-x+y)=(1-x)

证明(1-x)^2≥4y(x-y-1)
证明(1-x)^2≥4y(x-y-1)

证明(1-x)^2≥4y(x-y-1)
解由(1-x)^2-4y(x-y-1)
=(1-x)^2+4y(1-x+y)
=(1-x)^2+4y(1-x)+4y^2
=[(1-x)+2y]^2
≥0
即(1-x)^2-4y(x-y-1)≥0

(1-x)^2≥4y(x-y-1)