Find the value of c that completes the square.

For this case we must obtain the value of "c" to complete squares.
If we have:
[tex]y ^ 2-14y + c[/tex]
To complete squares we do the following:
We divide the middle term by 2 and raise the expression squared. That will be the value of "c", that is:
[tex]c = (\frac {-14} {2}) ^ 2\\c = 49\\ y^ 2-14y + 49[/tex]
Answer:
[tex]c = 49[/tex]
Option C