## A Student's WorkA student's approach to solving the given quadratic equation is shown below. Follow each step carefully.### Step-by-Step Solution:**Step 1:**\[ 3x - 5 = \sqrt{4x + 6} \]**Step 2:**\[ 3x - 5 - 6 = \sqrt{4x + 6 - 6} \]**Step 3:**\[ 3x - 11 = \sqrt{4x} \]**Step 4:**\[ (3x - 11)^2 = (\sqrt{4x})^2 \]---**Question:**What is the next step in the solution to this equation?**Options:**- $ \circ $ $ 9x^2 + 121 = 4x $- $ \circ $ $ 9x^2 - 66x + 121 = 4x $- $ \circ $ $ 9x^2 + 121 = 4x^2 $- $ \circ $ $ 9x^2 - 66x + 121 = 4x^2 $### Explanation and Analysis:- **Step 1 to Step 4 Explanation:** - **Step 1:** Initially, the equation $ 3x - 5 = \sqrt{4x + 6} $ is presented. - **Step 2:** Subtracting 6 from both sides simplifies the equation to $ 3x - 11 = \sqrt{4x} $. - **Step 3:** Is expected to show the equation in simpler form with all constants segregated. - **Step 4:** Both sides of the equation are squared to eliminate the square root, leading to $ (3x - 11)^2 = (\sqrt{4x})^2 $.Following these steps, squaring both sides results in:\[ (3x - 11)^2 = 4x \]---**Identifying the Correct Next Step:**Square the binomial on the left side and equate it to the right side:\[ (3x - 11)^2 = 9x^2 - 66x + 121 \]Therefore, we get:\[ 9x^2 - 66x + 121 = 4x \

Name: ## A Student's WorkA student's approach to solving the given quadrati
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Description: ## A Student's WorkA student's approach to solving the given quadratic equation is shown below. Follow each step carefully.### Step-by-Step Solution:**Step 1:**\[ 3x - 5 = \sqrt{4x + 6} \]**Step 2:**\[ 3x - 5 - 6 = \sqrt{4x + 6 - 6} \]**Step 3:**\[

Answered: Image /qna-images/answer/74ca3da2-5f7a-46fd-a4d4-58694be4d811.jpg

Math

Algebra

3. A student's work is shown below. Step 1: 3x 5=44x+6 Step 2: 3x 5- 6= 4x+6-6 Step 3: 3x 11 =4x Step 4: (3x- 11)2= (4x) %3D What is the next step in the solution to this equation? O 9x?+ 121 = 4x O 9x- 66x+ 121 = 4x O 9x? + 121 = 4x? 2. O 9x - 66x + 121 = 4x

3. A student's work is shown below. Step 1: 3x 5=44x+6 Step 2: 3x 5- 6= 4x+6-6 Step 3: 3x 11 =4x Step 4: (3x- 11)2= (4x) %3D What is the next step in the solution to this equation? O 9x?+ 121 = 4x O 9x- 66x+ 121 = 4x O 9x? + 121 = 4x? 2. O 9x - 66x + 121 = 4x

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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Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Topic Video

Question

## A Student's Work

A student's approach to solving the given quadratic equation is shown below. Follow each step carefully.

### Step-by-Step Solution:

**Step 1:**
\[ 3x - 5 = \sqrt{4x + 6} \]

**Step 2:**
\[ 3x - 5 - 6 = \sqrt{4x + 6 - 6} \]

**Step 3:**
\[ 3x - 11 = \sqrt{4x} \]

**Step 4:**
\[ (3x - 11)^2 = (\sqrt{4x})^2 \]

---

**Question:**

What is the next step in the solution to this equation?

**Options:**

- $ \circ $ $ 9x^2 + 121 = 4x $
- $ \circ $ $ 9x^2 - 66x + 121 = 4x $
- $ \circ $ $ 9x^2 + 121 = 4x^2 $
- $ \circ $ $ 9x^2 - 66x + 121 = 4x^2 $

### Explanation and Analysis:

- **Step 1 to Step 4 Explanation:**
- **Step 1:** Initially, the equation $ 3x - 5 = \sqrt{4x + 6} $ is presented.
- **Step 2:** Subtracting 6 from both sides simplifies the equation to $ 3x - 11 = \sqrt{4x} $.
- **Step 3:** Is expected to show the equation in simpler form with all constants segregated.
- **Step 4:** Both sides of the equation are squared to eliminate the square root, leading to $ (3x - 11)^2 = (\sqrt{4x})^2 $.

Following these steps, squaring both sides results in:
\[ (3x - 11)^2 = 4x \]

---

**Identifying the Correct Next Step:**
Square the binomial on the left side and equate it to the right side:
\[ (3x - 11)^2 = 9x^2 - 66x + 121 \]

Therefore, we get:
\[ 9x^2 - 66x + 121 = 4x \

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