SOLUTION: t^2+14t+c solve c value as a paerfect square

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Question 142875: t^2+14t+c
solve c value as a paerfect square
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
See this --> http://www.sosmath.com/algebra/quadraticeq/complsquare/complsquare.html
Given : t%5E2%2B14t%2Bc
You can see from the sign of the middle term, the answer must be a sum of squares. Also note the leading coefficient is 1.
Using the equation in the link above, we have
2%2A+sqrt%28c%29+=+14
sqrt%28c%29+=+7
c+=+49
Check the answer.
t%5E2+%2B+14t+%2B+49
%28t%2B7%29%5E2