Find two numbers whose arithmetic mean is 34 and the geometric mea | Filo

Class 11

Math

Algebra

Sequences and Series

564
150

Find two numbers whose arithmetic mean is 34 and the geometric mean is 16.

Solution: Let the two numbers be and such that

Then,
and

.......(1) and

.......(2)

solving eqn (1) & (2), we get,

and

Hence, required numbers are and .
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150

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