3x^2+2y^2-18x+8y+40的最小值同志们,
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3x^2+2y^2-18x+8y+40的最小值同志们,3x^2+2y^2-18x+8y+40的最小值同志们,3x^2+2y^2-18x+8y+40的最小值同志们,把40拆成27+8+5原式=(3x&s
3x^2+2y^2-18x+8y+40的最小值同志们,
3x^2+2y^2-18x+8y+40的最小值
同志们,
3x^2+2y^2-18x+8y+40的最小值同志们,
把40拆成27+8+5
原式=(3x²-18x+27)+(2y²+8y+8)+5
=3(x-3)²+2(y+4)²+5
平方大于等于0
所以3(x-3)²+2(y+4)²≥0
所以3(x-3)²+2(y+4)²+5≥5
所以最小值=5
3x^2+2y^2-18x+8y+40
=3(x²-6x+9)+2(y²+4y+4)+5
=3(x-3)²+2(y+2)²+5
当x=3,y=-2时,原式取到最小值=5
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