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The problem is asking for the value of \( c \) that completes the square for the quadratic expression \( x^2 - 15x + c \).

To complete the square, follow these steps:

1. Take the coefficient of \( x \), which is \( -15 \).
2. Divide it by 2: \( \frac{-15}{2} = -\frac{15}{2} \).
3. Square the result: \( \left( -\frac{15}{2} \right)^2 = \frac{225}{4} \).

Thus, the value of \( c \) that completes the square is \( \frac{225}{4} \).

Let me know if you need any further details or have any questions!

Here are 5 related questions you might find helpful:
1. How do you solve a quadratic equation by completing the square?
2. How does completing the square help solve quadratic equations?
3. What is the geometric interpretation of completing the square?
4. Can completing the square be used in all quadratic equations?
5. How is completing the square related to the quadratic formula?

**Tip**: Always divide the coefficient of \( x \) by 2 and then square it to find the constant that completes the square.

Find the value of c that completes the square for x^2 - 15x + c.

Learn how to find the value of c that completes the square for the quadratic expression x^2 - 15x + c. This algebraic concept is essential for solving quadratic equations and is suitable for students in Grades 9-10.

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