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

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

Options:

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.

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

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

Step 1: Identify the coefficients in the equation 2x^2 - 8x + 6 = 0. Here, a = 2, b = -8, and c = 6.
Step 2: Use the formula for the product of the roots of a quadratic equation, which is c/a.
Step 3: Substitute the values of c and a into the formula. So, we have 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.

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