Question

Create a list of steps, in order, that will solve the following equation.
\[(x-5)^2=25\]
Solution steps:

Answer 1

1. Take square roots of both sides: x - 5 = ±√25 = ±5.
2. Solve the two linear equations:
- x - 5 = 5 → x = 10
- x - 5 = −5 → x = 0
3. Check both solutions in the original equation: (10−5)^2 = 25 and (0−5)^2 = 25, so x = 10 and x = 0.