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What are the roots of the quadratic equation: x^2 + 6x + 9 = 0?

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Question: What are the roots of the quadratic equation: x^2 + 6x + 9 = 0?

Options:

  1. -3, -3
  2. 3, 3
  3. 0, 9
  4. 1, -1

Correct Answer: -3, -3

Solution: 

Factor the equation as (x + 3)(x + 3) = 0. Thus, the root is x = -3 (a double root).

What are the roots of the quadratic equation: x^2 + 6x + 9 = 0?

Practice Questions

Q1
What are the roots of the quadratic equation: x^2 + 6x + 9 = 0?
  1. -3, -3
  2. 3, 3
  3. 0, 9
  4. 1, -1

Questions & Step-by-Step Solutions

What are the roots of the quadratic equation: x^2 + 6x + 9 = 0?
  • Quadratic Equations – Understanding how to solve quadratic equations using factoring, the quadratic formula, or completing the square.
  • Roots of Equations – Identifying the roots of a quadratic equation, including recognizing double roots.
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