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Solve for x in the equation x^2 + 4x + 4 = 0.

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

Options:

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

Correct Answer: x = -2

Solution:

This factors to (x + 2)(x + 2) = 0. Therefore, x = -2.

Solve for x in the equation x^2 + 4x + 4 = 0.

Practice Questions

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

Questions & Step-by-Step Solutions

Solve for x in the equation x^2 + 4x + 4 = 0.
  • 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 – The question assesses understanding of finding roots of a polynomial equation.
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