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The product of the roots of the equation 2x^2 - 8x + 6 = 0 is equal to?

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Question: The product of the roots of the equation 2x^2 - 8x + 6 = 0 is equal to?

Options:

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

Correct Answer: 3

Solution: 

The product of the roots of the equation ax^2 + bx + c = 0 is given by c/a. Here, c = 6 and a = 2, so the product is 6/2 = 3.

The product of the roots of the equation 2x^2 - 8x + 6 = 0 is equal to?

Practice Questions

Q1
The product of the roots of the equation 2x^2 - 8x + 6 = 0 is equal to?
  1. 3
  2. 2
  3. 1
  4. 4

Questions & Step-by-Step Solutions

The product of the roots of the equation 2x^2 - 8x + 6 = 0 is equal to?
  • Step 1: Identify the coefficients in the quadratic equation 2x^2 - 8x + 6 = 0. Here, a = 2, b = -8, and c = 6.
  • Step 2: Recall 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 = 6 and a = 2.
  • Step 4: Calculate the product of the roots: 6 divided by 2 equals 3.
  • Step 5: Conclude that the product of the roots of the equation is 3.
  • Quadratic Equations – Understanding the standard form of a quadratic equation and the relationship between its coefficients and roots.
  • Product of Roots – Using the formula for the product of the roots of a quadratic equation, which is c/a.
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