Question 343888: Two positive numbers have a sum of 5 and product of 5. Find the numbers
Answer by Jk22(389)   (Show Source):
You can put this solution on YOUR website! suppose it's 2+a and 3-a, the sum is already 5, the product is
6-2a+3a-a^2=5 => a^2-a-1=0 => quadratic, with Delta=1+4=5,
and hence a=(1+/-Sqrt(5))/2 the golden ratios away from 2 or 3.
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