SOLUTION: the sum of two numbers is 43 and their product is 450 what is the difference

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Question 963543: the sum of two numbers is 43 and their product is 450 what is the difference
Answer by hkwu(60) About Me  (Show Source):
You can put this solution on YOUR website!
Denote your numbers a, b.
a+%2B+b+=+43
and
a%2Ab+=+450
Thus
a%2843-a%29=450
43a-a%5E2-450=0
a%5E2-43a%2B450=0
%28a-18%29%28a-25%29=0
Thus a = 18 or a = 25. This means b = 43 - 18 = 25 or b = 43 - 25 = 18, respectively. The absolute value of the difference between the numbers would be 7.
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