Question
Sum of two numbers is times their geometric mean, show that numbers are in the ratio .
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Text solutionVerified
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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Question Text | Sum of two numbers is times their geometric mean, show that numbers are in the ratio . |
Answer Type | Text solution:1 |
Upvotes | 150 |