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Solve for x in the equation x^2 + 6x + 9 = 0.

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Question: Solve for 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: 

Factor the equation: (x + 3)(x + 3) = 0. Thus, x = -3.

Solve for x in the equation x^2 + 6x + 9 = 0.

Practice Questions

Q1
Solve for 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

Solve for x in the equation x^2 + 6x + 9 = 0.
  • Step 1: Start with the equation x^2 + 6x + 9 = 0.
  • Step 2: Recognize that the equation can be factored. 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: Write the factored form of the equation: (x + 3)(x + 3) = 0.
  • Step 5: Set each factor equal to zero: x + 3 = 0.
  • Step 6: Solve for x by subtracting 3 from both sides: x = -3.
  • Quadratic Equations – The question tests the ability to solve a quadratic equation using factoring.
  • Factoring – The solution requires recognizing that the quadratic can be factored into a perfect square.
  • Roots of Equations – Finding the roots of the equation is essential to solving for x.
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