Question

решите систему уравнений методом сложения 2x²-2y²=8 и 2x²+y²=104​

Answer 1

Ответ:

Объяснение:

$\displaystyle\left \{ {{2x^2-2y^2=8} \atop {2x^2+y^2=104}} \right. \\\\\left \{ {{x^2-y^2=4} \atop {2x^2+y^2=104}} \right.\\+\\--------\\3x^2=108;~~x^2=36;~~x=\pm6\\\\1)~x=-6;~36-y^2=4;~y^2=32;~y=\pm\sqrt{32};y=\pm4\sqrt{2} \\\\ 2)~x=-6;~36-y^2=4;~y^2=32;~y=\pm\sqrt{32};y=\pm4\sqrt{2} \\\\Otvet:(-6;-4\sqrt{2} );(-6;4\sqrt{2} );(6;-4\sqrt{2} );(6;4\sqrt{2} )$