perplexus.info :: Just Math : Given Reciprocal Sums, Find the Numbers

Given Reciprocal Sums, Find the Numbers (Posted on 2024-04-29)

Suppose each of x,y,and z is a positive real number such that:

x + y + z = 1
4/x + 9/y+ 16/z = 81

What are the values of x, y, z?

No Solution Yet Submitted by K Sengupta

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