What are the solutions of the equation (2x – 7)2 = 25?

Step 1: Write down the equation The equation is (2x - 7)² = 25.

Step 2: Take the square root of both sides This gives us two equations because the square root of 25 is both 5 and -5. So we have:

2x - 7 = 5 and 2x - 7 = -5

Step 3: Solve for x in both equations For the first equation, add 7 to both sides to get 2x = 12. Then divide by 2 to get x = 6.

For the second equation, add 7 to both sides to get 2x = 2. Then divide by 2 to get x = 1.

So the solutions to the equation (2x - 7)² = 25 are x = 6 and x = 1.