SOLUTION: Solve by factoring and using the principle of zero products. Twenty more than the square of a number is twelve times the number. Find all such numbers.

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Question 18391: Solve by factoring and using the principle of zero products.
Twenty more than the square of a number is twelve times the number. Find all such numbers.
Answer by Earlsdon(6294) About Me  (Show Source):
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Twenty more than the square of a number %28n%5E2%2B20%29 is (=) 12 times the number %2812n%29. Write the equation:
n%5E2%2B20+=+12n Write in standard form.
n%5E2+-+12n+%2B+20+=+0 Factor.
%28n-10%29%28n-2%29+=+0 Apply the principle of zero products.
n-10+=+0 and/or n-2+=+0
If n-10+=+0, then n+=+10
If n-2+=+0, then n+=+2
The numbers are: 2 and 10