Soive for $$ d $$ $$ d^{2}-22 d+121=0 $$ Write each sotution as an integer, proper fraction, or improper fraction in simplest form If there are multiple solutions, separate them with commas. $$ \quad d=\square $$

Question

UpStudy AI · Accepted Answer

1. Recognize the equation is a quadratic:
   $$
   d^2 - 22d + 121 = 0
   $$

2. Notice that $$ 121 = 11^2 $$ and $$ 22 = 2 \times 11 $$. This suggests the quadratic might be a perfect square:
   $$
   d^2 - 22d + 121 = (d - 11)^2
   $$

3. Set the perfect square equal to zero:
   $$
   (d - 11)^2 = 0
   $$

4. Solve for $$ d $$:
   $$
   d - 11 = 0 \quad \Rightarrow \quad d = 11
   $$

Thus, the solution is: 
$$
d = 11
$$
$$ d = 11 $$

Soive for

Write each sotution as an integer, proper fraction, or improper fraction in simplest form If
there are multiple solutions, separate them with commas.

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Soive for Write each sotution as an integer, proper fraction, or improper fraction in simplest form If there are multiple solutions, separate them with commas.