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What is the product of the roots of the equation 2x^2 + 3x - 5 = 0?

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Question: What is the product of the roots of the equation 2x^2 + 3x - 5 = 0?

Options:

  1. -5/2
  2. 5/2
  3. 2/5
  4. -2/5

Correct Answer: -5/2

Solution:

The product of the roots is c/a = -5/2.

What is the product of the roots of the equation 2x^2 + 3x - 5 = 0?

Practice Questions

Q1
What is the product of the roots of the equation 2x^2 + 3x - 5 = 0?
  1. -5/2
  2. 5/2
  3. 2/5
  4. -2/5

Questions & Step-by-Step Solutions

What is the product of the roots of the equation 2x^2 + 3x - 5 = 0?
  • Step 1: Identify the coefficients of the quadratic equation 2x^2 + 3x - 5 = 0. Here, a = 2, b = 3, and c = -5.
  • Step 2: Use the formula for the product of the roots of a quadratic equation, which is given by c/a.
  • Step 3: Substitute the values of c and a into the formula. Here, c = -5 and a = 2.
  • Step 4: Calculate the product of the roots: (-5) / 2 = -5/2.
  • Step 5: Conclude that the product of the roots of the equation is -5/2.
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