My Learning Cart
?
Categories
Account

If x^2 + 4x + 4 = 0, what is the value of x?

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: If x^2 + 4x + 4 = 0, what is the value of x?

Options:

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

Correct Answer: -2

Solution: 

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

If x^2 + 4x + 4 = 0, what is the value of x?

Practice Questions

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

Questions & Step-by-Step Solutions

If x^2 + 4x + 4 = 0, what is the value of x?
Correct Answer: -2
  • Step 1: Start with the equation x^2 + 4x + 4 = 0.
  • Step 2: Notice that the left side can be factored. Look for two numbers that multiply to 4 and add to 4.
  • Step 3: The numbers 2 and 2 work because 2 * 2 = 4 and 2 + 2 = 4.
  • Step 4: Rewrite the equation as (x + 2)(x + 2) = 0.
  • Step 5: This can be simplified to (x + 2)^2 = 0.
  • Step 6: To solve for x, take the square root of both sides: x + 2 = 0.
  • Step 7: Subtract 2 from both sides to isolate x: x = -2.
  • Quadratic Equations – The question tests the ability to solve a quadratic equation, specifically recognizing and factoring a perfect square.
  • Factoring – The solution involves factoring the quadratic expression to find the roots.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks