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

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

Options:

Correct Answer: 4

Solution:

The sum of the roots is given by -b/a = 8/2 = 4.

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

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

Step 1: Identify the coefficients of the quadratic equation. The equation is 2x^2 - 8x + 6 = 0. Here, a = 2, b = -8, and c = 6.
Step 2: Use the formula for the sum of the roots of a quadratic equation, which is -b/a.
Step 3: Substitute the value of b and a into the formula. We have -(-8)/2.
Step 4: Simplify the expression. This becomes 8/2.
Step 5: Calculate the result. 8 divided by 2 equals 4.
Step 6: Conclude that the sum of the roots of the equation is 4.

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