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Which of the following is a solution to the equation x^2 + 6x + 9 = 0?

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Question: Which of the following is a solution to the equation x^2 + 6x + 9 = 0?

Options:

  1. x = -3
  2. x = 3
  3. x = 0
  4. x = -6

Correct Answer: x = -3

Solution: 

The equation can be factored as (x + 3)(x + 3) = 0. Thus, the solution is x = -3.

Which of the following is a solution to the equation x^2 + 6x + 9 = 0?

Practice Questions

Q1
Which of the following is a solution to the equation x^2 + 6x + 9 = 0?
  1. x = -3
  2. x = 3
  3. x = 0
  4. x = -6

Questions & Step-by-Step Solutions

Which of the following is a solution to the equation x^2 + 6x + 9 = 0?
  • Step 1: Start with the equation x^2 + 6x + 9 = 0.
  • Step 2: Look for two numbers that multiply to 9 (the last number) and add to 6 (the middle number).
  • Step 3: The numbers 3 and 3 work because 3 * 3 = 9 and 3 + 3 = 6.
  • Step 4: Rewrite the equation using these numbers: (x + 3)(x + 3) = 0.
  • Step 5: This can also be written as (x + 3)^2 = 0.
  • Step 6: To find the solution, set x + 3 = 0.
  • Step 7: Solve for x by subtracting 3 from both sides: x = -3.
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