Let's solve the equation step by step. The given equation is:
\[
\frac{(x-3)^2}{5} = 20
\]
1. What should be the first step when solving the quadratic equation above?
The first step is to eliminate the fraction by multiplying both sides by 5:
\[
(x-3)^2 = 100
\]
2. Which of the following is one of the solutions to the quadratic equation above?
Next, we take the square root of both sides to solve for \(x\):
\[
x-3 = \pm 10
\]
This gives us two cases to consider:
-
\(x - 3 = 10\)
-
\(x - 3 = -10\)
3. Which of the following is the other solution to the quadratic equation above?
From our solutions:
- One solution is \(x = 13\)
- The other solution is \(x = -7\)
So, depending on the options given, you will identify \(13\) as one solution and \(-7\) as the other solution.