Rewrite the function by completing the square. $$ f(x)=x^{2}-12 x-29 $$ $$ f(x)=(x+\square)^{2}+\square $$

Question

UpStudy AI · Accepted Answer

To complete the square for the function $$ f(x) = x^{2} - 12x - 29 $$, follow these steps:

1. **Identify the coefficients:**
   - The coefficient of $$ x $$ is $$-12$$.

2. **Half the coefficient of $$ x $$ and square it:**
   - Half of $$-12$$ is $$-6$$.
   - Squaring $$-6$$ gives $$ 36 $$.

3. **Rewrite the function by adding and subtracting this square:**
   $$
   f(x) = x^{2} - 12x + 36 - 36 - 29
   $$
   $$
   f(x) = (x - 6)^{2} - 65
   $$

So, the function rewritten by completing the square is:
$$
f(x) = (x - 6)^{2} - 65
$$

**Filled in the blanks:**
$$
f(x) = (x - 6)^{2} - 65
$$
$$ f(x) = (x - 6)^2 - 65 $$

Rewrite the function by completing the square. \( f(x)=x^{2}-12 x-29 \) \( f(x)=(x+\square)^{2}+\square \)

Real Tutor Solution

Answer

Solution

The Deep Dive

Related Questions

Latest Algebra Questions