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Find the sum of the roots of the equation 3x^2 - 12x + 9 = 0.
Find the sum of the roots of the equation 3x^2 - 12x + 9 = 0.
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1 question
Q1
Find the sum of the roots of the equation 3x^2 - 12x + 9 = 0.
3
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9
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The sum of the roots is given by -b/a = 12/3 = 4.
Questions & Step-by-step Solutions
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Q
Q: Find the sum of the roots of the equation 3x^2 - 12x + 9 = 0.
Solution:
The sum of the roots is given by -b/a = 12/3 = 4.
Steps: 5
Show Steps
Step 1: Identify the coefficients in the quadratic equation 3x^2 - 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 (-12) and a (3) into the formula: -(-12)/3.
Step 4: Simplify the expression: 12/3 = 4.
Step 5: Conclude that the sum of the roots is 4.
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