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What is the product of the roots of the equation 2x^2 - 3x + 1 = 0?

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Question: What is the product of the roots of the equation 2x^2 - 3x + 1 = 0?

Options:

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

Correct Answer: 1/2

Solution: 

Using Vieta\'s formulas, the product of the roots is 1/2 (c/a = 1/2).

What is the product of the roots of the equation 2x^2 - 3x + 1 = 0?

Practice Questions

Q1
What is the product of the roots of the equation 2x^2 - 3x + 1 = 0?
  1. 1/2
  2. 1
  3. 3/2
  4. 2

Questions & Step-by-Step Solutions

What is the product of the roots of the equation 2x^2 - 3x + 1 = 0?
Correct Answer: 1/2
  • Step 1: Identify the coefficients of the quadratic equation 2x^2 - 3x + 1 = 0. Here, a = 2, b = -3, and c = 1.
  • Step 2: Use Vieta's formulas, which state that for a quadratic equation ax^2 + bx + c = 0, the product of the roots (r1 * r2) is given by c/a.
  • Step 3: Substitute the values of c and a into the formula. Here, c = 1 and a = 2.
  • Step 4: Calculate the product of the roots: 1/2 = 1 divided by 2.
  • Step 5: Conclude that the product of the roots of the equation 2x^2 - 3x + 1 = 0 is 1/2.
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