Question

What is the solution of (x-9)^2/3=25 algebraicallt

Answer 1

$\bf \cfrac{(x-9)^2}{3}=25\implies (x-9)^2=75\implies \sqrt{(x-9)^2}=\sqrt{75}\implies x-9=\pm\sqrt{75} \\\\\\ x=\pm \sqrt{75}+9\implies x\approx \begin{cases} 17.66\\ -0.34 \end{cases}$