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If x^2 + 4x + 4 = 0, what is the value of x?
If x^2 + 4x + 4 = 0, what is the value of x?
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Practice Questions
1 question
Q1
If x^2 + 4x + 4 = 0, what is the value of x?
-2
2
0
-4
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This is a perfect square: (x + 2)^2 = 0, so x = -2.
Questions & Step-by-step Solutions
1 item
Q
Q: If x^2 + 4x + 4 = 0, what is the value of x?
Solution:
This is a perfect square: (x + 2)^2 = 0, so x = -2.
Steps: 7
Show Steps
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.
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