2 replies to this topic

[Tri369]

$(x^{2}+2)\sqrt{x^{2}+x+1}+x^{3}-3x^{2}-5x+2=0$

[NAT]

$(x^{2}+2)\sqrt{x^{2}+x+1}+x^{3}-3x^{2}-5x+2=0$

PT$\Leftrightarrow ({{x}^{2}}+2)(\sqrt{{{x}^{2}}+x+1}-2)+({{x}^{3}}-{{x}^{2}}-5x+6)=0$

$\Leftrightarrow ({{x}^{2}}+2)(\sqrt{{{x}^{2}}+x+1}-2)+(x-2)({{x}^{2}}+x-3)=0$

$\Leftrightarrow {{x}^{2}}+x-3=0$ hoặc $ (x-2)\sqrt{{{x}^{2}}+x+1}={{x}^{2}}+2x-2$

Edited by NAT, 20-07-2017 - 19:45.

[thoai6cthcstqp]

$(x^{2}+2)\sqrt{x^{2}+x+1}+x^{3}-3x^{2}-5x+2=0$

 

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Edited by thoai6cthcstqp, 22-07-2017 - 13:44.