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nastyamontana
@nastyamontana
July 2022
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знайти найменше значення многочлен Р(х,у)=2х^2+2ху+3у^2+2х-4у-5
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mmb1
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Р(х,у)=2х^2+2ху+3у^2+2х-4у-5=x^2+2xy+y^2+x^2+2x+1-1+y^2-4y+4-4+y^2-5=(x+y)^2+(x+1)^2+(y-2)^2+y^2-10
x=-1 y=1 0+0+1+1-10=-8
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Р(х,у)=2х^2+2ху+3у^2+2х-4у-5=x^2+2xy+y^2+x^2+2x+1-1+y^2-4y+4-4+y^2-5=(x+y)^2+(x+1)^2+(y-2)^2+y^2-10x=-1 y=1 0+0+1+1-10=-8