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Find the value of x in the equation x^2 + 6x + 9 = 0.

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Question: Find the value of x in the equation x^2 + 6x + 9 = 0.

Options:

  1. x = -3
  2. x = 3
  3. x = 0
  4. x = -9

Correct Answer: x = -3

Solution: 

This is a perfect square: (x + 3)^2 = 0, so x = -3.

Find the value of x in the equation x^2 + 6x + 9 = 0.

Practice Questions

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

Questions & Step-by-Step Solutions

Find the value of x in the equation x^2 + 6x + 9 = 0.
Correct Answer: -3
  • Step 1: Start with the equation x^2 + 6x + 9 = 0.
  • Step 2: Recognize that the left side can be factored as a perfect square.
  • 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, take the square root of both sides: x + 3 = 0.
  • Step 6: Subtract 3 from both sides to isolate x: x = -3.
  • Quadratic Equations – The question tests the ability to solve a quadratic equation, specifically recognizing and factoring a perfect square.
  • Factoring – The solution involves factoring the quadratic expression into a perfect square.
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