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The sum of the roots of the equation 2x^2 - 3x + 1 = 0 is equal to what?

Practice Questions

Q1
The sum of the roots of the equation 2x^2 - 3x + 1 = 0 is equal to what?
  1. 1
  2. 3/2
  3. 3
  4. 2

Questions & Step-by-Step Solutions

The sum of the roots of the equation 2x^2 - 3x + 1 = 0 is equal to what?
  • Step 1: Identify the equation given, which is 2x^2 - 3x + 1 = 0.
  • Step 2: Recognize that this is a quadratic equation in the form ax^2 + bx + c = 0, where a = 2, b = -3, and c = 1.
  • Step 3: Recall Vieta's formulas, which tell us that for a quadratic equation, the sum of the roots (let's call them r1 and r2) is given by -b/a.
  • Step 4: Substitute the values of b and a into the formula: -(-3)/2.
  • Step 5: Simplify the expression: -(-3) becomes 3, so we have 3/2.
  • Step 6: Conclude that the sum of the roots of the equation is 3/2.
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