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

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

Options:

  1. -3 and -3
  2. 3 and 3
  3. 0 and 9
  4. 1 and 8

Correct Answer: -3 and -3

Solution: 

This is a perfect square: (x + 3)(x + 3) = 0. Thus, the root is x = -3 (with multiplicity 2).

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

Practice Questions

Q1
What are the roots of the equation x^2 + 6x + 9 = 0?
  1. -3 and -3
  2. 3 and 3
  3. 0 and 9
  4. 1 and 8

Questions & Step-by-Step Solutions

What are the roots of the equation x^2 + 6x + 9 = 0?
  • Quadratic Equations – Understanding how to solve quadratic equations, particularly those that can be factored into perfect squares.
  • Roots and Multiplicity – Identifying the roots of an equation and understanding the concept of multiplicity in roots.
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