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What are the solutions to the quadratic equation x^2 + 4x + 4 = 0?
What are the solutions to the quadratic equation x^2 + 4x + 4 = 0?
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Practice Questions
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Q1
What are the solutions to the quadratic equation x^2 + 4x + 4 = 0?
x = -2, -2
x = 2, 2
x = -4, 0
x = 0, 4
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Step 1: Factor the equation: (x + 2)(x + 2) = 0. Step 2: Set the factor to zero: x + 2 = 0. Step 3: Solution is x = -2 (double root).
Questions & Step-by-step Solutions
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Q
Q: What are the solutions 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. Step 3: Solution is x = -2 (double root).
Steps: 4
Show Steps
Step 1: Factor the equation x^2 + 4x + 4. This can be written as (x + 2)(x + 2) because both factors are the same.
Step 2: Set the factor equal to zero. Since we have (x + 2)(x + 2) = 0, we can set one of the factors to zero: x + 2 = 0.
Step 3: Solve for x. To find x, subtract 2 from both sides: x = -2.
Step 4: Identify the type of root. Since we got the same solution from both factors, x = -2 is a double root.
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