Respuesta :
Answer:
Take the square roots of both sides, and add 5 to both sides.
Step-by-step explanation:
The solutions of the given equation are x = 0 and x = 10
Solving quadratic equations
From the question, we are to create a list of steps that will solve the given equation
The given equation is
(x - 5)^2= 25
This can be rewritten as
(x - 5)² = 25
Expanding, we get
(x - 5)(x - 5) = 25
x² -5x -5x +25 = 25
x² -10x +25 = 25
x² -10x +25-25 = 0
x² -10x = 0
Factorizing, we get
(x)(x -10) = 0
Then, we can write that
x = 0 OR x-10 = 0
x = 0 OR x = 10
Hence, the solutions of the given equation are x = 0 and x = 10
Learn more on Solving quadratic equations here: https://brainly.com/question/24334139
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