Three Am's are inserted between a and b. If the first and the third means are 16 and 34, find the second mean and the values of a and b.
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a+b/2=34 arithmetic mean
a+b=68
ab =16 [Geometric mean]or, ab=256
or, a(68−a)=256
or, a
2 −68a+256=0 or, (a−64)(a−4)=0 or, a=64,4 then b=4,64.
So the required numbers are 64 and 4.
Step-by-step explanation:
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