Algebra 2

To solve this equation, we will need to use the property of equality which states that we can do the same operation to both sides of the equation. We can start by subtracting 1 from both sides of the equation, which will give us: (x^2/3) = 8. Next, we can multiply both sides of the equation by 3 to get rid of the fraction on the left side. This gives us: x^2 = 24. Finally, we can take the square root of both sides of the equation to solve for x, which gives us: x = ±√24. Therefore, the solution to the equation (x^2/3)+1=9 is x = ±√24.