Giải hệ phương trình: \(\left\{ \begin{align}  & 2y\left( {{x}^{2}}-{{y}^{2}} \right)=3x \\  & x\left( {{x}^{3}}+{{y}^{3}} \right)=10y \\ \end{align} \right.\)

Câu hỏi :

Giải hệ phương trình: \(\left\{ \begin{align}  & 2y\left( {{x}^{2}}-{{y}^{2}} \right)=3x \\  & x\left( {{x}^{3}}+{{y}^{3}} \right)=10y \\ \end{align} \right.\)

A \(\left( 2;1 \right),\text{ }\left( -2;-1 \right),\text{ }\left( \sqrt{\frac{5\sqrt{15}}{4}};\sqrt{\frac{3\sqrt{15}}{4}} \right),\left( -\sqrt{\frac{5\sqrt{15}}{4}};-\sqrt{\frac{3\sqrt{15}}{4}} \right)\)

B \(\left( 2;11 \right),\text{ }\left( -2;-11 \right),\text{ }\left( \sqrt{\frac{5\sqrt{15}}{4}};\sqrt{\frac{3\sqrt{15}}{4}} \right),\left( -\sqrt{\frac{5\sqrt{15}}{4}};-\sqrt{\frac{3\sqrt{15}}{4}} \right)\)

C \(\left( 2;1 \right),\text{ }\left( -2;-1 \right),\text{ }\left( \sqrt{\frac{5\sqrt{15}}{4}};\sqrt{\frac{3\sqrt{11}}{4}} \right),\left( -\sqrt{\frac{4\sqrt{15}}{4}};-\sqrt{\frac{3\sqrt{15}}{4}} \right)\)

D \(\left( 2;11 \right),\text{ }\left( -2;-11 \right),\text{ }\left( \sqrt{\frac{5\sqrt{15}}{4}};\sqrt{\frac{3\sqrt{15}}{4}} \right),\left( -\sqrt{\frac{5\sqrt{15}}{7}};-\sqrt{\frac{3\sqrt{15}}{7}} \right)\)

* Đáp án

A

* Hướng dẫn giải

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