SOLUTION: The sum of two numbers is 20, the square root of their product is 9. What are numbers?

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Question 1054805: The sum of two numbers is 20, the square root of their product is 9. What are numbers?
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
system%28x%2By+=20%2Csqrt%28xy%29+=+9%29

Square both sides of the second equation.
Solve by substitution.  Then use quadratic formula.

There are two real solutions.

solution #1:  x=10+-+sqrt%2819%29,y=10+%2B+sqrt%2819%29 

solution #1:  x=10+%2B+sqrt%2819%29,y=10+-+sqrt%2819%29 

Edwin