40 баллов,не сложное задание по алгебре. Created by Ficksik12345. algebra-ru

40 баллов,не сложное задание по алгебре...

m11m

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Universalka

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$\left \{ {{x^{3}-y^{3}=218} \atop {x^{2}+xy+y^{2} =109}} \right.\\\\:\left \{ {{(x-y)(x^{2}+xy+y^{2})=218} \atop {x^{2}+xy+y^{2}=109}} \right.\\\\\left \{ {{x-y=2} \atop {x^{2}+xy+y^{2}=109}} \right. \\\\-\left \{ {{x^{2}-2xy+y^{2}=4} \atop {x^{2}+xy+y^{2}=109}} \right.\\ ---------\\-3xy=-105\\xy=35\\\\\left \{ {{x-y=2} \atop {xy=35}} \right.$

$\left \{ {{x=2+y} \atop {(2+y)*y=35}} \right.\\\\\left \{ {{x=2+y} \atop {y^{2}+2y-35=0 }} \right.\\\\1)\left \{ {{y_{1} =-7} \atop {x_{1} =-7+2}} \right. \\\\\left \{ {{y_{1} =-7} \atop {x_{1} =-5}} \right.\\\\2)\left \{ {{y_{2} =5} \atop {x_{2} =5+2}} \right.\\\left \{ {{y_{2} =5} \atop {x_{2} =7}} \right.$

Ответ : (- 5 ; - 7) , ( 7 ; 5)

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