Sum of two numbers is 6 times their geometric mean, show that numb | Filo
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Sum of two numbers is times their geometric mean, show that numbers are in the ratio .

Solution: Let the numbers be and .

Geometric mean of two numbers and is .

According to the question,

Apply componendo and dividendo.

Apply componendo and dividendo again.

Square both the sides.

Thus, and are in the ratio of .
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