SOLUTION: The sum of two numbers is 25 and their product is 252. Find their difference.

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Question 880780: The sum of two numbers is 25 and their product is 252. Find their difference.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%28A%2BB%29%5E2=A%5E2%2B2AB%2BB%5E2
%28A-B%29%5E2=A%5E2-2AB%2BB%5E2
%28A%2BB%29%5E2-%28A-B%29%5E2=A%5E2%2B2AB%2BB%5E2-A%5E2%2B2AB-B%5E2
%28A%2BB%29%5E2-%28A-B%29%5E2=4AB
%28A-B%29%5E2=%28A%2BB%29%5E2-4AB
Substituting,
%28A-B%29%5E2=25%5E2-4%28252%29
%28A-B%29%5E2=625-1008
%28A-B%29%5E2=-383
There's a problem here since the square of a real number cannot equal a negative number.
Re-check your problem setup and repost your question.