What is the value of k if the equation x^2 - kx + 9 = 0 has roots that are 3 and

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Question: What is the value of k if the equation x^2 - kx + 9 = 0 has roots that are 3 and 3?

Options:

Correct Answer: 6

Solution:

The sum of the roots is 3 + 3 = 6, so k = 6.

What is the value of k if the equation x^2 - kx + 9 = 0 has roots that are 3 and 3?

What is the value of k if the equation x^2 - kx + 9 = 0 has roots that are 3 and 3?

Step 1: Identify the roots of the equation. The roots given are 3 and 3.
Step 2: Calculate the sum of the roots. Add the two roots together: 3 + 3 = 6.
Step 3: Use the relationship between the sum of the roots and the value of k. In the equation x^2 - kx + 9 = 0, the sum of the roots is equal to k.
Step 4: Since the sum of the roots is 6, we can conclude that k = 6.

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