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Find the sum of the roots of the equation 3x^2 - 12x + 9 = 0.

Practice Questions

Q1
Find 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

Find the sum of the roots of the equation 3x^2 - 12x + 9 = 0.
  • 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.
  • Quadratic Equations – Understanding the standard form of a quadratic equation and how to apply Vieta's formulas to find the sum of the roots.
  • Vieta's Formulas – Using the relationship between the coefficients of a polynomial and the sums and products of its roots.
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