For this case we have the following polynomial:
[tex]n ^ 2 + 36n + c[/tex]
To find the value of c that completes the square, we use the following equation:
[tex]c = (\frac {b} {2}) ^ 2[/tex]
Where,
- b: coefficient of the variable of degree 1
Substituting values we have:
[tex]c = (\frac {36} {2}) ^ 2\\c = (18) ^ 2\\c = 324[/tex]
Answer:
the value of c that completes the square is:
[tex]c = 324[/tex]
