find two numbers whose arthematic mean is 9.0 and whose geometric mean is 7.2
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Answered by
0
Answer:
one number is 3.6 and the other is 14.4.
Step-by-step explanation:
AM of two numbers a and b = 9, so
a+b = 2*9 = 18 …(1)
GM of two numbers a and b = 7.2, so
ab = 7.2^2 = 51.84 …(2)
a(18-a) = 51.84, or
a^2 - 18a + 51.84 = 0
a1 = [18 + (324-207.36)^0.5]/2
= [18 + 10.8]/2
= 14.4 and
b1 = 3.6
So one number is 3.6 and the other is 14.4.
Answered by
0
Answer:
one no. is 3.6 and other is 14.4
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