a) Giải hệ phương trình: \( \left \{ \begin{align}& xy(x+y)=2 \ \ & {{x}^{3}}+{{y}^{3}}+{{x}^{3}}{{y}^{3}}+7(x+1)(y+1)=31 \ \ \end{align} \right.. \)
b) Giải phương trình: \(9+3 \sqrt{x(3-2x)}=7 \sqrt{x}+5 \sqrt{3-2x}. \)
A.a) \(\left( x;\ y \right)=\left( 6;\ 1 \right).\)
b) \(S=\left\{ \frac{1}{9};\ \ 1 \right\}.\)
B.a) \(\left( x;\ y \right)=\left( 1;\ 1 \right).\)
b) \(S=\left\{ \frac{2}{9};\ \ 1 \right\}.\)
C.a) \(\left( x;\ y \right)=\left( 1;\ 1 \right).\)
b) \(S=\left\{ \frac{1}{9};\ \ 1 \right\}.\)
D.a) \(\left( x;\ y \right)=\left( 9;\ 1 \right).\)
b) \(S=\left\{ \frac{1}{2};\ \ 1 \right\}.\)