Giải Phương Trình

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nguyenbahiep1

1, [TEX] (x+2)^3[/TEX] + [TEX]\frac{ (x+2)^3 }{ (x+1)^3}[/TEX] =16


[laTEX](x+2)^3 - 8 + \frac{(x+2)^3}{(x+1)^3} - 8 = 0 \\ \\ x(x^2+6x+12) - \frac{x(7x^2+8x+12)}{(x+1)^3} = 0 \\ \\ TH_1: x = 0 \\ \\ TH_2: x^2+6x+12 - \frac{7x^2+8x+12}{(x+1)^3} = 0 \\ \\ (x+1)^3(x^2+6x+12) - (7x^2+8x+12) = x(x^2+2x+2)(x^2+7x+17) = 0 \\ \\ \Rightarrow x= 0 [/laTEX]
 
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