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What is the solution to the quadratic equation x^2 + 4x + 4 = 0?
What is the solution to the quadratic equation x^2 + 4x + 4 = 0?
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Practice Questions
1 question
Q1
What is the solution to the quadratic equation x^2 + 4x + 4 = 0?
x = -2
x = 2
x = 0
x = -4
Show Solution
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Step 1: Factor the equation: (x + 2)(x + 2) = 0. Step 2: Set the factor to zero: x + 2 = 0. Solution is x = -2.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the solution to the quadratic equation x^2 + 4x + 4 = 0?
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.
Steps: 6
Show Steps
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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