Giải phương trình :
 $1/ 3x^2+3x+2$=$(x+6)\sqrt{3x^2-2x-3}$

$2/ x^2+x+2=(3x-2)\sqrt{x+1}$

$3/ \sqrt{x+2} = \frac{x+2+2\sqrt{2x+1}}{x+\sqrt{2x+1}}$
mấy bài kia tối giải –  ahihi 27-07-15 05:04 PM
Bài 2
Điều kiện: $x\geq -1.$
Đặt $t=\sqrt{x+1},t\geq 0$ ta có phương trình đã cho tương đương với:
   $2t^2-(3x-2)t+x^2-x=0$ (ẩn $t$)
   $\Delta =(3x-2)^2-4.2.(x^2-x)=x^2-4x+4=(x-2)^2$
$\Rightarrow t=\frac{3x-2\pm (x-2)}{4}$
$\Leftrightarrow \sqrt{x+1}=x-1$ hoặc $\sqrt{x+1}=\frac{x}{2}.$
Tới đây quá dễ...

Bài 1: $Đk: x....$
$3x^2+3x+2=(x+6).\sqrt{3x^2-2x-3}$
$<=> 3x^2-2x-28=(x+6)(\sqrt{3x^2-2x-3}-5)$
$<=> 3x^2-2x-28=(x+6)(\frac{3x^2-3x-28}{\sqrt{3x^2-2x-3}+5})$
$<=> (3x^2-2x-28)(\frac{x+6}{\sqrt{3x^2-2x-3}+5}-1)=0$
=>$3x^2-2x-28=0$hoặc$x+1=\sqrt{3x^2-2x-3}$
đến đây dễ rồi

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