\(\Leftrightarrow\left(x-1\right)\left(x-2\right)\left(x+7\right)\left(x+8\right)+8=0.\)
\(\Leftrightarrow\left(x-1\right)\left(x+7\right)\left(x-2\right)\left(x+8\right)+8=0.\)
\(\Leftrightarrow\left(x^2+6x-7\right)\left(x^2+6x-16\right)+8=0.\)
đặt \(\left(x^2+6x-7\right)=a.\)
\(a\left(a-9\right)+8=0\)
\(\Leftrightarrow\orbr{\begin{cases}a=1\\a=8\end{cases}}\)
thay ròi giả tiếp .
(x^2-x-2x+2)(x^2+8x+7x+56)+8=0
{x(x-1)-2(x-1)}{x(x+8)+7(x+8)}+8=0
(x-1)(x-2)(x+8)(x+7)+8=0
(x-1)(x-2)(x+8)(x+7)=-8
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Nguyễn Nho Dũng