tex]...

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[tex] \left \{ {{ x^{2} + y^{2}=25 } \atop {xy=12}} \right. [/tex]

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NNNLLL54

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$\left \{ {{x^2+y^2=25} \atop {xy=12}} \right. \; \left \{ {{x^2+y^2=25} \atop {2xy=24}} \right. \; \left \{ {{x^2+2xy+y^2=49} \atop {xy=12}} \right. \; \left \{ {{(x+y)^2=49} \atop {xy=12}} \right. \\\\\\ \left \{ {{x+y=7} \atop {xy=12}} \right. \; \; \; ili\; \; \; \left \{ {{x+y=-7} \atop {xy=12}} \right. \\\\ \left \{ {{x=4,x=3} \atop {y=3,y=4}} \right. \; \; \; ili\; \; \; \left \{ {{x=-4,x=-3} \atop {y=-3,y=-4}} \right. \\\\Otvet:\; \; (4,3),\; (3,4),\; (-4,-3),\; (-3,-4).$

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