SOLUTION: The product of two consecutive natural numbers is 1056. Find the sum of these two numbers.

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Question 114630: The product of two consecutive natural numbers is 1056. Find the sum of these two numbers.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the first (lower) number, then (x+1) is the next consecutive number.
x%28x%2B1%29+=+1056 The product of theses two numbers is 1056. Subtract 1056 from both sides.
x%5E2%2Bx-1056+=+0 Solve by factoring.
%28x-32%29%28x%2B33%29+=+0 Apply the zero product principle.
If x-32+=+0 then x+=+32
or
If x%2B33+=+0 then x+=+-33 Since the problem says "two consecutive natural numbers", discard the negtive solution.
x+=+32 and x%2B1+=+33 These are the two numbers.
Check:
32%2A33+=+1056