a) (x-5)3-x+5=0
⇔(x-5)3-(x-5)=0
⇔ (x-5)[(x-5)2-1]=0
⇔ (x-5)(x-5-1)(x-5+1)=0
⇔ (x-5)(x-6)(x-4)=0
⇔ \(\left[{}\begin{matrix}x-5=0\\x-6=0\\x-4=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=5\\x=6\\x=4\end{matrix}\right.\)
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b) (x2+1)(x-2)+2x=4
⇔ (x2+1)(x-2)+2x-4=0
⇔ (x2+1)(x-2)+(2x-4)=0
⇔ (x2+1)(x-2)+2(x-2)=0
⇔(x-2)(x2+1+2)=0
⇔ (x-2)(x2+3)=0
⇔\(\left[{}\begin{matrix}x-2=0\\x^2+3=0\end{matrix}\right.\left[{}\begin{matrix}x=2\\x^2=-3\left(voli\right)\end{matrix}\right.\)
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