The sum of two numbers is 10 and their geometric mean is 4. Find the numbers.
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Let the two number be a and b
AM=(a+b)/2 equation 1
GM= √α*b
a+b=20
√α*b=6
squae both the side
ab = 36
b=36/a
put the value in first equation
a+36/a=20
a^2 - 20*a + 36=0
a=(20+16)/2
a=18
b=2
The two numbers are 18 and 20
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