SOLUTION: If m is a positive integer and (x+7)^2 = x^2 + mx + 49, what is the value of m? Can you please provide a clear, understandable step by step solution. Thank you!

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Question 985676: If m is a positive integer and (x+7)^2 = x^2 + mx + 49, what is the value of m? Can you please provide a clear, understandable step by step solution. Thank you!

Found 2 solutions by josgarithmetic, Edwin McCravy:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2B7%29%5E2+=+x%5E2+%2B+mx+%2B+49

Left Hand Side becomes, x%5E2%2B14x%2B49.
What is m?

Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
           (x+7)² = x² + mx + 49

       (x+7)(x+7) = x² + mx + 49
x² + 7x + 7x + 49 = x² + mx + 49
    x² + 14x + 49 = x² + mx + 49

Subtract x² and 49 from both sides

    x² + 14x + 49 = x² + mx + 49
   -x²        -49  -x²       -49
   -----------------------------
         14x      =      mx

Divide both sides by x

               14 = m

Edwin