Question

Create a list of steps, in order, that will solve the following equation.

(x-5)^2=25
Solution steps:

Answer 1

1. Start with (x - 5)^2 = 25.
2. Take the square root of both sides: x - 5 = ±√25 = ±5.
3. Solve the two linear equations:
- x - 5 = 5 ⇒ x = 10
- x - 5 = -5 ⇒ x = 0
4. Check both in the original equation: (10 - 5)^2 = 25 and (0 - 5)^2 = 25.
5. Solutions: x = 10 and x = 0.