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What is the sum of the roots of the equation 3x² + 12x + 9 = 0? (2021)
Practice Questions
Q1
What is the sum of the roots of the equation 3x² + 12x + 9 = 0? (2021)
-4
-3
-2
-1
Questions & Step-by-Step Solutions
What is the sum of the roots of the equation 3x² + 12x + 9 = 0? (2021)
Steps
Concepts
Step 1: Identify the coefficients in the quadratic equation 3x² + 12x + 9 = 0. Here, a = 3, b = 12, and c = 9.
Step 2: Use the formula for the sum of the roots of a quadratic equation, which is -b/a.
Step 3: Substitute the value of b (which is 12) and a (which is 3) into the formula: -b/a = -12/3.
Step 4: Calculate -12 divided by 3, which equals -4.
Step 5: Conclude that the sum of the roots of the equation is -4.
No concepts available.
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