SOLUTION: The sum of two numbers is 22, and the sum of their squares is 244. Find the numbers

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Question 371311: The sum of two numbers is 22, and the sum of their squares is 244. Find the numbers
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi,
Let x represent one of the numbers, the other then is (22-x)
Write as we Read
x^2 + (22-x)^2 = 244
solving for x
x^2 + 484 -44x + x^2 = 244
2x^2 -44x + 240 = 0
factoring
(2x - 20)(x -12)= 0
(2x - 20)= 0
x = 10
(x -12)= 0
x = 12
Numbers are 10 and 12
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