MHB Having difficulty in solving the equation

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The discussion revolves around proving the equation (a+b+c)²/(a² + b² + c²) = (a+b+c)/(a-b+c) under the condition that a, b, and c are in continued proportion. Participants emphasize the importance of showing attempted solutions to facilitate better assistance. Clarifying specific steps where confusion arises can lead to more targeted help. The conversation highlights the need for a clear understanding of the properties of continued proportions in relation to the equation. Engaging with the problem through shared attempts can enhance collaborative problem-solving.
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if a,b,c are in continued proportion .prove that (a+b+c)^2/(a^2 + b^2 +c^2 )=(a+b+c)/(a-b+c)
 
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Re: having difficulty in solving the question.

Can you show what you have tried? Our helpers are better able to help if they can see where you are stuck. :D
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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