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giải pt: $2x^{2}+2x+1=(2x+3)(\sqrt{x^{2}+x+2}-1)$

- - - - - $2x^{2}+2x+1

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#1
phan xuan y

phan xuan y

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giải pt: $2x^{2}+2x+1=(2x+3)(\sqrt{x^{2}+x+2}-1)$



#2
vuvanquya1nct

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DK....

$PT\Leftrightarrow x^2+x+2-(2x+3)\sqrt{x^2+x+2}+x^2+3x+2=0 (*)$

$\Delta =1$

$(*)\Leftrightarrow \begin{bmatrix} \sqrt{x^2+x+2}=x+1 & \\ \sqrt{x^2+x+2}=x+2 & \end{bmatrix}$

Den day thi de rui


Edited by vuvanquya1nct, 28-01-2014 - 20:15.

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