Consider $$ x^{2}+10 x+ $$ How many unit tiles need to be added to complete the square and form a perfect square trinomial expression? unit tiles

Question

UpStudy AI · Accepted Answer

To complete the square for the quadratic expression $$ x^{2} + 10x $$ and form a perfect square trinomial, follow these steps:

1. **Identify the Coefficient of $$ x $$:**
   The coefficient of $$ x $$ is **10**.

2. **Take Half of This Coefficient:**
   $$
   \frac{10}{2} = 5
   $$

3. **Square the Result:**
   $$
   5^2 = 25
   $$

4. **Add This Square to Complete the Square:**
   $$
   x^{2} + 10x + 25 = (x + 5)^2
   $$

So, **25 unit tiles** need to be added to $$ x^{2} + 10x $$ to complete the square and form the perfect square trinomial $$ (x + 5)^2 $$.

**Final Answer:**  
25 unit tiles must be added to complete the square.
25 unit tiles need to be added to complete the square.

Consider
How many unit tiles need to be added to complete the
square and form a perfect square trinomial expression?
unit tiles