$x^{4}+1+2\sqrt{x+1}=(x^{2}+x)(\sqrt{x+1}+1)$
ĐK: $x\geq -1$
Ta có: pt $\Leftrightarrow x^4+1-x^2-x=\sqrt{x+1}(x^2+x-2)$
$\Leftrightarrow (x-1)[x^2(x+1)-1]=\sqrt{x+1}(x-1)(x+2)$
+) x=1 là 1 nghiệm của pt
+) x khác 1 tức x-1 khác 0
pt $\Leftrightarrow x^2(x+1)-1=\sqrt{x+1}(x+2)$
$\Leftrightarrow x^3+x^2+x=(\sqrt{x+1})^3+x+1+\sqrt{x+1}$
$\Leftrightarrow x=\sqrt{x+1}....$
Chắc đến đây bn lm đc rùi nhỉ
Có j thắc mắc bảo mk nha...Đúng thì tích giùm mk ạ...:)))))))))
oki.cảm ơn pn nhé –  tuyetny1997 16-06-16 09:35 PM
ahi cái hàm f(x) = x^3 x^2 x phải chứng minh nó luôn đồng biến đã chứ ạ..?? –  [_đéo_có_tên_] 16-06-16 09:15 PM

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