1) x(х- 3) - 0 3 А) (3, 0) B) -5 5' D) {2, –4 C) {-3, 0}

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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Answer this for me mate. Much appreciated.

Below is a transcription of a multiple-choice problem set, suitable for an educational website focused on algebraic equations:

---

**Problem Set: Solving Quadratic Equations**

1) Solve for \( x \) in the equation: 

   \( x(x - 3) = 0 \)

   **Options:**
   - A) \(\{3, 0\}\)
   - B) \(\left\{\frac{3}{5}, -5\right\}\)
   - C) \(\{-3, 0\}\)
   - D) \(\{2, -4\}\)

2) Solve for \( n \) in the equation:

   \( n^2 - 2n - 3 = 0 \)

   **Options:**
   - A) \(\{-3, -1\}\)  
   - B) \(\{3, -4\}\)  
   - C) \(\{-3, 1\}\)  
   - D) \(\{3, -1\}\)  

3) Solve for \( x \) in the equation:

   \( x^2 + x = 20 \)

   **Options:**
   - A) \(\{5, 4\}\)
   - B) \(\{-5, 1\}\)
   - C) \(\{-5, 4\}\)
   - D) \(\{1, 4\}\)

4) Solve for \( a \) in the equation:

   \( 2a^2 + 14a + 17 = 5 + 4a \)

   **Options:**
   - A) \(\{1\}\)
   - B) \(\{-3, -2\}\)
   - C) \(\{4\}\)
   - D) \(\{-5, 0\}\)

---

Each problem requires finding the values of the variable that satisfy the given quadratic equation. Consider factoring techniques, completing the square, or using the quadratic formula to find solutions.
Transcribed Image Text:Below is a transcription of a multiple-choice problem set, suitable for an educational website focused on algebraic equations: --- **Problem Set: Solving Quadratic Equations** 1) Solve for \( x \) in the equation: \( x(x - 3) = 0 \) **Options:** - A) \(\{3, 0\}\) - B) \(\left\{\frac{3}{5}, -5\right\}\) - C) \(\{-3, 0\}\) - D) \(\{2, -4\}\) 2) Solve for \( n \) in the equation: \( n^2 - 2n - 3 = 0 \) **Options:** - A) \(\{-3, -1\}\) - B) \(\{3, -4\}\) - C) \(\{-3, 1\}\) - D) \(\{3, -1\}\) 3) Solve for \( x \) in the equation: \( x^2 + x = 20 \) **Options:** - A) \(\{5, 4\}\) - B) \(\{-5, 1\}\) - C) \(\{-5, 4\}\) - D) \(\{1, 4\}\) 4) Solve for \( a \) in the equation: \( 2a^2 + 14a + 17 = 5 + 4a \) **Options:** - A) \(\{1\}\) - B) \(\{-3, -2\}\) - C) \(\{4\}\) - D) \(\{-5, 0\}\) --- Each problem requires finding the values of the variable that satisfy the given quadratic equation. Consider factoring techniques, completing the square, or using the quadratic formula to find solutions.
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