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 √((x-9)^2)=√(75)\implies x-9=\pm√(75) \\\\\\ x=\pm √(75)+9\implies x\approx \begin{cases} 17.66\\ -0.34 \end{cases}`