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What is the product of the roots of the quadratic equation 2x² + 3x - 5 = 0?

Practice Questions

Q1
What is the product of the roots of the quadratic equation 2x² + 3x - 5 = 0?
  1. -2.5
  2. 2.5
  3. -1.5
  4. 1.5

Questions & Step-by-Step Solutions

What is the product of the roots of the quadratic equation 2x² + 3x - 5 = 0?
  • Step 1: Identify the coefficients of the quadratic equation. The equation is 2x² + 3x - 5 = 0.
  • Step 2: Recognize the standard form of a quadratic equation, which is ax² + bx + c = 0. Here, a = 2, b = 3, and c = -5.
  • Step 3: Use the formula for the product of the roots of a quadratic equation, which is given by c/a.
  • Step 4: Substitute the values of c and a into the formula. Here, c = -5 and a = 2.
  • Step 5: Calculate the product of the roots: -5 divided by 2 equals -2.5.
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