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What are the roots of the quadratic equation x^2 + 4x + 4 = 0?

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Question: What are the roots of the quadratic equation x^2 + 4x + 4 = 0?

Options:

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

Correct Answer: x = -2, -2

Solution: 

Step 1: Factor the equation: (x + 2)(x + 2) = 0. Step 2: Set the factor to zero: x + 2 = 0. Step 3: Solution is x = -2 (double root).

What are the roots of the quadratic equation x^2 + 4x + 4 = 0?

Practice Questions

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

Questions & Step-by-Step Solutions

What are the roots of the quadratic equation x^2 + 4x + 4 = 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 and understanding the significance of double roots.
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