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If x^2 + 2x + 1 = 0, what is the value of x?

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Question: If x^2 + 2x + 1 = 0, what is the value of x?

Options:

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

Correct Answer: -1

Solution: 

This is a perfect square: (x + 1)^2 = 0 => x = -1.

If x^2 + 2x + 1 = 0, what is the value of x?

Practice Questions

Q1
If x^2 + 2x + 1 = 0, what is the value of x?
  1. -1
  2. 0
  3. 1
  4. 2

Questions & Step-by-Step Solutions

If x^2 + 2x + 1 = 0, what is the value of x?
  • Step 1: Start with the equation x^2 + 2x + 1 = 0.
  • Step 2: Recognize that the left side can be factored as (x + 1)(x + 1) or (x + 1)^2.
  • Step 3: Rewrite the equation as (x + 1)^2 = 0.
  • Step 4: To solve for x, take the square root of both sides: x + 1 = 0.
  • Step 5: Subtract 1 from both sides to isolate x: x = -1.
  • Quadratic Equations – The question tests the ability to solve a quadratic equation, specifically recognizing and factoring a perfect square.
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