Find the value of $x_{1}$ and $x_{2}$, which minimizes [F=x_{1}^{2}+x_{2}^{2}-x_{1} x_{2}-3 x_{2}] subject to [begin{aligned}& -x_{1}-x_{2} geq-2
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Find the value of $x_{1}$ and $x_{2}$, which minimizes
\[F=x_{1}^{2}+x_{2}^{2}-x_{1} x_{2}-3 x_{2}\]
subject to
\[\begin{aligned}& -x_{1}-x_{2} \geq-2 \\& x \geq 0, x_{2} \text { integer }\end{aligned}\]
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