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Solve the quadratic equation x^2 + 4x + 4 = 0.

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Question: Solve the quadratic equation x^2 + 4x + 4 = 0.

Options:

  1. -2
  2. 2
  3. 0
  4. -4

Correct Answer: -2

Solution: 

This can be factored as (x + 2)(x + 2) = 0. Therefore, x = -2 is a double root.

Solve the quadratic equation x^2 + 4x + 4 = 0.

Practice Questions

Q1
Solve the quadratic equation x^2 + 4x + 4 = 0.
  1. -2
  2. 2
  3. 0
  4. -4

Questions & Step-by-Step Solutions

Solve 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.
  • Factoring – Recognizing how to factor a perfect square trinomial.
  • Roots of Equations – Identifying and interpreting the roots of a quadratic equation, including double roots.
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