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What is the solution to the quadratic equation x^2 + 4x + 4 = 0?

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Question: What is the solution to the quadratic equation x^2 + 4x + 4 = 0?

Options:

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

Correct Answer: x = -2

Solution: 

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

What is the solution to the quadratic equation x^2 + 4x + 4 = 0?

Practice Questions

Q1
What is the solution to the quadratic equation x^2 + 4x + 4 = 0?
  1. x = -2
  2. x = 2
  3. x = 0
  4. x = -4

Questions & Step-by-Step Solutions

What is the solution to the quadratic equation x^2 + 4x + 4 = 0?
Correct Answer: x = -2
  • Step 1: Look at the equation x^2 + 4x + 4 = 0. We want to factor it.
  • Step 2: Notice that 4 can be written as 2 times 2, and the equation can be factored as (x + 2)(x + 2) = 0.
  • Step 3: Now we have (x + 2)(x + 2) = 0. This means both factors are the same.
  • Step 4: Set one of the factors to zero: x + 2 = 0.
  • Step 5: Solve for x by subtracting 2 from both sides: x = -2.
  • Step 6: The solution to the equation is x = -2.
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