SOLUTION: The sum of two numbers is 256 and the square of their sum is 784.What is the product of the two numbers?

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Question 894315: The sum of two numbers is 256 and the square of their sum is 784.What is the product of the two numbers?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
I just answered this a few minutes ago. Notice what question is asked!
You do not need to try to solve for both x and y.

Two numbers, x and y.
x%5E2%2By%5E2=256 and %28x%2By%29%5E2=784.
The second equation is x%5E2%2B2xy%2By%5E2=784.

Subtract the circle equation from the second equation:
x%5E2%2B2xy%2By%5E2-x%5E2-y%5E2=784-256
2xy=528
highlight%28xy=264%29, the answer.