Question

( x-5)^20 = x-2

Answer 1

Sửa đề: \(\left(x-2\right)^{20}=x-2\)

Ta có: \(\left(x-2\right)^{20}=x-2\)

=>\(\left(x-2\right)^{20}-\left(x-2\right)=0\)

=>\(\left(x-2\right)\left\lbrack\left(x-2\right)^{19}-1\right\rbrack=0\)

=>\(\left[\begin{array}{l}x-2=0\\ \left(x-2\right)^{19}-1=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=2\\ x-2=1\end{array}\right.\Rightarrow\left[\begin{array}{l}x=2\\ x=3\end{array}\right.\)