Can you solve this system of equations? | Algebra | logarithm | Math Problem | Easy Solution

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2nd condition is just xy = 100, so x + y = 29 (complete square) and from there its clearly just quadratic formula (reverse vieta relations to construct polynomial) and gives 25 and 4.

Key takeaway from problems like this is that if you know any 2 of the following you know the 3rd one:

x + y
xy
x^2 + y^2

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Bundles of thanks wishing a nice summer time!