Chủ đề này có 1 trả lời

[trang2004]

$\left\{\begin{matrix}(2x-1)\sqrt{x+y}=(6-x-y)\sqrt{2-x} & & \\ 2\sqrt[3]{12x^2+3xy-18x}=x^3-6x-y+5 & & \end{matrix}\right.$

[buingoctu]

$\left\{\begin{matrix}(2x-1)\sqrt{x+y}=(6-x-y)\sqrt{2-x} & & \\ 2\sqrt[3]{12x^2+3xy-18x}=x^3-6x-y+5 & & \end{matrix}\right.$

$(2x-4)\sqrt{x+y}+3\sqrt{x+y}=6\sqrt{2-x}-(x+y)\sqrt{2-x}$

<=> $3( 2\sqrt{2-x}-\sqrt{x+y} )+\sqrt{x+y}\sqrt{2-x}(2\sqrt{2-x}-\sqrt{x+y})=0$

=> $2\sqrt{2-x}=\sqrt{x+y}$ <=> $y= 8-5x$

Thay vào (2) => $2\sqrt[3]{12x^2+3x(8-5x)-18x}=x^3-6y-8+5x+5 <=> 2\sqrt[3]{6x-3x^2}=x^3-x-3$