Which numbers are a solution to (x + 1)² - 1=0? 0-4 -2 O 02 04

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Question 12 of 12**

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*Your answer is incorrect.*

**Which numbers are a solution to \((x + 1)^2 - 1 = 0\)?**

- [ ] \(-4\)
- [ ] \(-2\)
- [x] \(0\)
- [ ] \(2\)
- [ ] \(4\)

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**eTextbook and Media**

**Hint**

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### Explanation:

To solve the equation \((x + 1)^2 - 1 = 0\), follow these steps:

1. **Start with the given equation:**
   \[
   (x + 1)^2 - 1 = 0
   \]

2. **Add 1 to both sides:**
   \[
   (x + 1)^2 = 1
   \]

3. **Take the square root of both sides:**
   \[
   x + 1 = \pm1
   \]

4. **Solve for \(x\):**
   - \(x + 1 = 1 \Rightarrow x = 0\)
   - \(x + 1 = -1 \Rightarrow x = -2\)

Thus, the solutions are \(x = 0\) and \(x = -2\).
Transcribed Image Text:**Question 12 of 12** - **View Policies** - **Show Attempt History** --- **Current Attempt in Progress** *Your answer is incorrect.* **Which numbers are a solution to \((x + 1)^2 - 1 = 0\)?** - [ ] \(-4\) - [ ] \(-2\) - [x] \(0\) - [ ] \(2\) - [ ] \(4\) --- **eTextbook and Media** **Hint** --- ### Explanation: To solve the equation \((x + 1)^2 - 1 = 0\), follow these steps: 1. **Start with the given equation:** \[ (x + 1)^2 - 1 = 0 \] 2. **Add 1 to both sides:** \[ (x + 1)^2 = 1 \] 3. **Take the square root of both sides:** \[ x + 1 = \pm1 \] 4. **Solve for \(x\):** - \(x + 1 = 1 \Rightarrow x = 0\) - \(x + 1 = -1 \Rightarrow x = -2\) Thus, the solutions are \(x = 0\) and \(x = -2\).
Expert Solution
Step 1: Determined the given data

Given :- (x + 1)2 - 1 = 0

Now, 

(x + 1)2 = 1


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