(1)2x^2-7x-9
=2(x²-7/2x)-9
=2(x-7/4)²-2×49/16-9
=2(x-7/4)²-121/16
∴x=7/4时,取得最小值-121/16
(2)-3x^2+5x+4
=-3(x²-5/3x)+4
=-3(x-5/6)²+3×25/36+4
=-3(x-5/6)²+53/12
∴x=5/6时,取得最大值53/12
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