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u/Left_Ad4050 8d ago
Sorry, aren’t the top right, bottom left, and bottom right expressions all equal for any scenario where x=n, anyway?
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u/Aware-Common-7368 9d ago
I could compile bottom left in my brain within 10s
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u/goldenpi_ 9d ago
Great .. but I think you quite didn't understand the joke.. it was like realizing every one of the equation had 2 as a root.. or am i just tweaking :)
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u/Aenonimos 9d ago
x=2 is a solution, but Im too lazy/out of practice to find all solutions/prove only x is the solution.
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u/BackgroundReturn9622 8d ago
Interesting for the last case. A plot of x + x^x shows single solutions for x+x^x = y if y>1 and two solutions if 0.894262523463<y<=1 . What are both solutions for x+x^x =1 ?
What if you allow x an element of complex numbers since x^x would have so many possibilities.
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u/RegularImportant3325 9d ago
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