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What are the solutions to the equation x^2 + 4x + 4 = 0?
What are the solutions to the equation x^2 + 4x + 4 = 0?
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Practice Questions
1 question
Q1
What are the solutions to the equation x^2 + 4x + 4 = 0?
x = -2
x = 2
x = 0
x = -4
Show Solution
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This factors to (x + 2)(x + 2) = 0, so the double root is x = -2.
Questions & Step-by-step Solutions
1 item
Q
Q: What are the solutions to the equation x^2 + 4x + 4 = 0?
Solution:
This factors to (x + 2)(x + 2) = 0, so the double root is x = -2.
Steps: 8
Show Steps
Step 1: Start with the equation x^2 + 4x + 4 = 0.
Step 2: Look for two numbers that multiply to 4 (the last number) and add to 4 (the middle number).
Step 3: The numbers 2 and 2 work because 2 * 2 = 4 and 2 + 2 = 4.
Step 4: Rewrite the equation using these numbers: (x + 2)(x + 2) = 0.
Step 5: This can also be written as (x + 2)^2 = 0.
Step 6: To find the value of x, set x + 2 = 0.
Step 7: Solve for x by subtracting 2 from both sides: x = -2.
Step 8: Since this is a double root, the solution is x = -2.
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