SOLUTION: The sum of two numbers is 11. The product of the same numbers is 18. What are the two numbers?

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Question 296248: The sum of two numbers is 11. The product of the same numbers is 18. What are the two numbers?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let the two numbers be x and x, then:
x%2By+=+11 Rewrite this as: x = y-11 and substitute in the equation below:
x%2Ay+=+18
%2811-y%29%2Ay+=+18 Simplify.
11y-y%5E2+=+18 Rearrange into standard form for quadratic equation.
y%5E2-11y%2B18+=+0 Solve by factoring.
%28y-2%29%28y-9%29+=+0 so that...
y+=+2 or y+=+9
The two numbers are 2 and 9.