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What is the sum of the roots of the equation 3x^2 - 12x + 9 = 0?

Practice Questions

Q1
What is the sum of the roots of the equation 3x^2 - 12x + 9 = 0?
  1. 3
  2. 4
  3. 6
  4. 9

Questions & Step-by-Step Solutions

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