Question

(x-5)^4=256 find the solutions

Answer 1

`(x-5)^4=256\implies \pm\sqrt[4]{(x-5)^4}~~ = ~~\pm\sqrt[4]{256}\implies \pm(x-5)=\pm\sqrt[4]{256} \\\\\\ x-5=\mp\sqrt[4]{256}\implies x-5=\mp 4\implies x=\mp4 +5\implies x= \begin{cases} 1\\ 9 \end{cases}`