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What is the value of x in the equation x^2 + 6x + 9 = 0?

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Question: What is the value of x in the equation x^2 + 6x + 9 = 0?

Options:

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

Correct Answer: -3

Solution: 

This is a perfect square trinomial: (x + 3)^2 = 0. Therefore, x + 3 = 0, which gives x = -3.

What is the value of x in the equation x^2 + 6x + 9 = 0?

Practice Questions

Q1
What is the value of x in the equation x^2 + 6x + 9 = 0?
  1. -3
  2. 3
  3. 0
  4. -6

Questions & Step-by-Step Solutions

What is the value of x in the equation x^2 + 6x + 9 = 0?
  • Step 1: Look at the equation x^2 + 6x + 9 = 0.
  • Step 2: Notice that the left side can be factored. It is a perfect square trinomial.
  • Step 3: Rewrite the equation as (x + 3)(x + 3) = 0.
  • Step 4: This can also be written as (x + 3)^2 = 0.
  • Step 5: To solve for x, set the expression inside the parentheses equal to zero: x + 3 = 0.
  • Step 6: Solve for x by subtracting 3 from both sides: x = -3.
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