Question

Answer the questions about this quadratic equation shown below.

(x−3)^2/5 =20
(3 points)
What should be the first step when solving the quadratic equation above?___

Which of the following is one of the solutions to the quadratic equation above? ___

Which of the following is the other solution to the quadratic equation above? ___

Answer 1

To solve the given quadratic equation \((x−3)^2/5 = 20\), we can follow the steps:

### First Step:
The first step when solving the quadratic equation is to eliminate the fraction by multiplying both sides by 5. This leads us to:

\[
(x−3)^2 = 100
\]

### Solutions:
Next, we take the square root of both sides to solve for \(x\):

\[
x - 3 = \pm 10
\]

This gives us two equations to solve:

1. \(x - 3 = 10\)
2. \(x - 3 = -10\)

Now, solving each equation:

1. **For \(x - 3 = 10\)**:
\[
x = 10 + 3 = 13
\]

2. **For \(x - 3 = -10\)**:
\[
x = -10 + 3 = -7
\]

### Summary of Answers:
- **First step:** Multiply both sides by 5.
- **One solution:** 13
- **Other solution:** -7

If you have specific options for the solutions, please provide them, and I can help identify which of those correspond to the solutions we found.