SOLUTION: The difference between two numbers is six and a half,the sum of the numbers is one more than the square root of their product. What is the smaller number?

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Question 255763: The difference between two numbers is six and a half,the sum of the numbers is one more than the square root of their product. What is the smaller number?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
a-b=6.5
a+b=1+sqrt(ab)
I find it hard to believe that this could be right.
The difference (first equation) tells us that the numbers are not integers.
But the answers from my equations are all complex numbers involving i.