Question

Tim x la so tu nhien sao cho (x-7)^35=(x-3)^25

Answer 1

Ta co (x-7)³⁵=(x-3)²⁵

suy ra x-7=1 va x-3=1

suy ra x thuoc {8;4}

Answer 2

\(\left(x-7\right)^{35}=\left(x-3\right)^{35}\)

\(\Rightarrow\hept{\begin{cases}\left(x-7\right)^{35}=0\\\left(x-3\right)^{35}=0\end{cases}\Rightarrow\hept{\begin{cases}x-7=0\\x-3=0\end{cases}\Rightarrow}\hept{\begin{cases}x=7\\x=3\end{cases}}}\)

Vậy \(x\in\left\{7;3\right\}\)