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To solve the equation \( x^2 - 10x = -4 \) by completing the square, let's go through the steps and check if 25 should be added to both sides:

1. Start with the given equation:
   \[
   x^2 - 10x = -4
   \]

2. To complete the square, we need to take half of the coefficient of \(x\) (which is \(-10\)), square it, and add that value to both sides. Half of \(-10\) is \(-5\), and squaring it gives:
   \[
   (-5)^2 = 25
   \]

3. Add 25 to both sides of the equation:
   \[
   x^2 - 10x + 25 = -4 + 25
   \]
   Simplifying the right-hand side:
   \[
   x^2 - 10x + 25 = 21
   \]

Thus, to complete the square, you indeed need to add 25 to both sides. Therefore, the statement is **True**.

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Would you like more details or have any questions on completing the square?

Here are five related questions:
1. How do you complete the square for a quadratic equation when the coefficient of \(x^2\) isn't 1?
2. What is the next step after completing the square in solving a quadratic equation?
3. Can completing the square be used to derive the quadratic formula?
4. How is completing the square related to the vertex form of a quadratic equation?
5. What are the advantages of solving equations by completing the square compared to factoring?

**Tip:** Completing the square is especially useful when the quadratic equation doesn’t factor easily or when you're asked to rewrite the equation in vertex form.

To solve the equation x^2 - 10x = -4 by completing the square, both sides of the equation should be added by 25.

Learn how to solve the quadratic equation x^2 - 10x = -4 by completing the square. This solution involves adding 25 to both sides of the equation. Suitable for students in Grades 9-10.

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