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Find the sum of the roots of the equation 2x^2 - 3x + 1 = 0.

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Question: Find the sum of the roots of the equation 2x^2 - 3x + 1 = 0.

Options:

  1. 1
  2. 2
  3. 3
  4. 4

Correct Answer: 1

Solution: 

The sum of the roots is given by -b/a = 3/2.

Find the sum of the roots of the equation 2x^2 - 3x + 1 = 0.

Practice Questions

Q1
Find the sum of the roots of the equation 2x^2 - 3x + 1 = 0.
  1. 1
  2. 2
  3. 3
  4. 4

Questions & Step-by-Step Solutions

Find the sum of the roots of the equation 2x^2 - 3x + 1 = 0.
  • Step 1: Identify the coefficients in the quadratic equation 2x^2 - 3x + 1 = 0. Here, a = 2, b = -3, and c = 1.
  • 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 (-3) and a (2) into the formula: -(-3)/2.
  • Step 4: Simplify the expression: 3/2.
  • Step 5: Conclude that the sum of the roots is 3/2.
  • 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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