SOLUTION: Kindly sold this problem. The product of two consecutive number is 182. Find the numbers.

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Question 65130: Kindly sold this problem.
The product of two consecutive number is 182. Find the numbers.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let the two consecutive numbers be x and (x+1)
x%2A%28x%2B1%29+=+182 Simplify.
x%5E2+%2B+x+=+182 Subtract 182 from both sides.
x%5E2+%2B+x+-+182+=+0 Solve this quadratic equation by factoring.
%28x+%2B+14%29%28x+-+13%29+=+0 Apply yhe zero product principle.
x+%2B+14+=+0 and x+-+13+=+0
If x+%2B+14+=+0 then x+=+-14 This is one solution!
If+x+-+13+=+0 then x+=+13 This the other solution!.
x+=+13 and x%2B1+=+14
x+=+-14 and x%2B1+=+-13
The two numbers are 13 and 14 and the other two are -14 and -13