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