Question

(x-3)^17=(x-3)^117

Answer 1

\(\left(x-3\right)^{17}=\left(x-3\right)^{117}\)
\(\left(x-3\right)^{17}-\left(x-3\right)^{117}=0\)
\(\left(x-3\right)^{17}.\left[1-\left(x-3\right)^{100}\right]=0\)
\(\left(x-3\right)^{17}=0\) hoặc \(1-\left(x-3\right)^{100}=0\)
\(x-3=0\) hoặc \(\left(x-3\right)^{100}=1\)
\(x=0+3\) hoặc \(x-3=1\) hoặc \(x-3=-1\)
\(x=3\) hoặc \(x=1+3\) hoặc \(x=-1+3\)
\(x=3\) hoặc \(x=4\) hoặc \(x=2\)
Vậy \(x\in\left\{3;4;2\right\}\)

Answer 2

(X-3)^17=(X-3)^117

(X-3)^(117-17)

(X-3)^100

X=3-3

X=0