Question

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

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

Answer 1

To solve the equation (x - 5)^2= 25, distribute the exponent, subtract 25, factor out x, set each factor equal to zero, and solve for x. The solutions to the equation are x = 0 and x = 10.

Step-by-step explanation:

To solve the equation (x - 5)^2= 25, follow these steps:

1. Distribute the exponent to the terms inside the parentheses: x^2 - 10x + 25 = 25
2. Subtract 25 from both sides of the equation: x^2 - 10x = 0
3. Factor out x from the left side of the equation: x(x - 10) = 0
4. Set each factor equal to zero: x = 0 and x - 10 = 0
5. Solve for x: x = 0 and x = 10

Therefore, the solutions to the equation are x = 0 and x = 10.

Answer 2

Take the square roots of both sides, and add 5 to both sides.

Step-by-step explanation: