Which expression represents the sum of the roots of the quadratic equation x^2 +

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Question: Which expression represents the sum of the roots of the quadratic equation x^2 + 6x + 8 = 0?

Options:

Correct Answer: -6

Solution:

The sum of the roots is given by -b/a. Here, b = 6, so the sum is -6.

Which expression represents the sum of the roots of the quadratic equation x^2 + 6x + 8 = 0?

Which expression represents the sum of the roots of the quadratic equation x^2 + 6x + 8 = 0?

Step 1: Identify the quadratic equation. The given equation is x^2 + 6x + 8 = 0.
Step 2: Recognize the standard form of a quadratic equation, which is ax^2 + bx + c = 0.
Step 3: Identify the coefficients a, b, and c from the equation. Here, a = 1, b = 6, and c = 8.
Step 4: Use the formula for the sum of the roots of a quadratic equation, which is -b/a.
Step 5: Substitute the value of b into the formula. Since b = 6, we have -b = -6.
Step 6: Substitute the value of a into the formula. Since a = 1, we have -b/a = -6/1.
Step 7: Calculate the sum of the roots. The result is -6.

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