SOLUTION: The sum of two numbers is 20, and the sum of their squares is 208. Find the numbers.

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Question 292378: The sum of two numbers is 20, and the sum of their squares is 208. Find the numbers.
Answer by Alan3354(69443) About Me  (Show Source):
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The sum of two numbers is 20, and the sum of their squares is 208. Find the numbers.
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x+y = 20
x%5E2+%2B+y%5E2+=+208
x%5E2+%2B+%2820-x%29%5E2+=+208
2x%5E2+-+40x+%2B+192+=+0
x%5E2+-+20x+%2B+96+=+0
(x - 12)*(x - 8) = 0
x = 8
y = 12