The sum of the roots of the quadratic equation 3x^2 - 12x + 9 = 0 is:

The sum of the roots of the quadratic equation 3x^2 - 12x + 9 = 0 is:

Correct Answer: 4

Step 1: Identify the quadratic equation given, which is 3x^2 - 12x + 9 = 0.
Step 2: Recognize that a quadratic equation is in the form ax^2 + bx + c = 0, where a, b, and c are constants.
Step 3: In our equation, a = 3, b = -12, and c = 9.
Step 4: Use Vieta's formulas, which tell us that the sum of the roots of the equation is given by the formula -b/a.
Step 5: Substitute the value of b (-12) and a (3) into the formula: -(-12)/3.
Step 6: Simplify the expression: -(-12) becomes 12, so we have 12/3.
Step 7: Calculate 12 divided by 3, which equals 4.
Step 8: Conclude that the sum of the roots of the quadratic equation is 4.

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