<PRE><B>Question 796559</B>
The sum of two numbers is 19, and the sum of their squares is 185. Find the numbers.
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x + y = 19
x^2 + y^2 = 185
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y = 19-x
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x^2 + (19-x)^2 = 185
2x^2 - 38x + 176 = 0
x^2 - 19x + 88 = 0
x = 8, y = 11
x = 11, y = 8</PRE>