Solve algebraically showing all steps.

Question

(x+2)2/3=9

Answer 1

To solve the equation algebraically, we can follow these steps:

1. Start with the given equation:

(x + 2)^(2/3) = 9

2. Raise both sides of the equation to the power of 3/2 to eliminate the fractional exponent:

[(x + 2)^(2/3)]^(3/2) = 9^(3/2)

x + 2 = 81

3. Subtract 2 from both sides of the equation to solve for x:

x + 2 - 2 = 81 - 2

x = 79

4. Therefore, the solution to the equation is x = 79.