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The arithmetic mean of two numbers is 18 and the geometric mean is 16. find the sum of squares of the numbers
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The arithmetic mean of two numbers is 18 and the geometric mean is 16. find the sum of squares of the numbers

User Gpanda
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1 Answer

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x+y=36
xy=256

x=256/y
256/y + y = 36

256/y + y²/y = 36y/y

y² - 36y +256 = 0

use the quadratic formula to get 18+2√17 and 18-2√17. ugly numbers but they work!

User Christos
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