Question

Answer 1

a) \(2\left(x-1\right)^2=8\)

\(\left(x-1\right)^2=4\)

⇔\(\left[{}\begin{matrix}x-1=4\\x-1=-4\end{matrix}\right.\)

⇔\(\left[{}\begin{matrix}x=5\\x=-3\end{matrix}\right.\)

Answer 2

b) \(\left(2x+1\right)^3=125=5^3\)

⇔\(2x+1=5\)

⇔\(2x=4\)

⇔\(x=2\)

c) \(\left(x-2\right)^5=243=3^5\)

⇔\(x-2=3\)

⇔\(x=5\)