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The quadratic equation x^2 + 4x + 4 = 0 has:
The quadratic equation x^2 + 4x + 4 = 0 has:
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Practice Questions
1 question
Q1
The quadratic equation x^2 + 4x + 4 = 0 has:
Two distinct real roots
One real root
No real roots
Infinitely many roots
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The discriminant is 0, indicating one real root (a repeated root).
Questions & Step-by-step Solutions
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Q
Q: The quadratic equation x^2 + 4x + 4 = 0 has:
Solution:
The discriminant is 0, indicating one real root (a repeated root).
Steps: 5
Show Steps
Step 1: Identify the quadratic equation, which is in the form ax^2 + bx + c. Here, a = 1, b = 4, and c = 4.
Step 2: Calculate the discriminant using the formula D = b^2 - 4ac.
Step 3: Substitute the values of a, b, and c into the discriminant formula: D = (4)^2 - 4(1)(4).
Step 4: Simplify the calculation: D = 16 - 16 = 0.
Step 5: Interpret the result: Since the discriminant is 0, this means there is one real root (a repeated root).
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