What is the sum of the roots of the quadratic equation x^2 - 7x + 10 = 0?

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Question: What is the sum of the roots of the quadratic equation x^2 - 7x + 10 = 0?

Options:

Correct Answer: 7

Solution:

The sum of the roots is given by -b/a = 7/1 = 7.

What is the sum of the roots of the quadratic equation x^2 - 7x + 10 = 0?

What is the sum of the roots of the quadratic equation x^2 - 7x + 10 = 0?

Step 1: Identify the coefficients of the quadratic equation. In the equation x^2 - 7x + 10 = 0, the coefficients are: a = 1, b = -7, and c = 10.
Step 2: Use the formula for the sum of the roots of a quadratic equation, which is -b/a.
Step 3: Substitute the values of b and a into the formula. Here, b = -7 and a = 1.
Step 4: Calculate -b/a. This means you take -(-7) divided by 1, which is 7/1.
Step 5: Simplify the result. 7/1 equals 7.
Step 6: Conclude that the sum of the roots of the quadratic equation is 7.

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