Answer the questions about this quadratic equation shown below.

Question

(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.