A Nice Algebra Problem - Olympiad Mathematics | Math Olympiad Practice

A Nice Algebra Problem - Olympiad Mathematics | Math Olympiad Practice

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[lifeisajourney]

Instead of taking Lcm Multiply both sides by (x+y)

[sheenoreiki]

Hi Mathbooster, I really appreciate all along your vids that helped both me and my brother for years. However, for more complex questions, is it possible for us to email to you? Any further help is greatly appreciated

[LiterallyNotSerious]

It was simple bro x+y/xy = 1/x+y
So it means x + y = 1 & xy = x+y on concluding that xy = x +y can only be possible when x&y both are 1 or 2
So when we put x and y = 1 or x and y = 2
In (x/y)³ +(y/x)³ we get ="2"😁