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this post was submitted on 29 Mar 2025
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x^2
—— = x
x
Proof?
ETA: Quick verification.
x² - x² = 0 and x - x = 0, then 0 = 0 and uh... again.
If you're saying two variables are equal, then x=x is valid. The only issue with this is it doesn't indicate the restriction at x=0. This is a "hole" in the function since anything/0 is undefined. For all other cases the equation holds true.
So x = x if x ≠ 0 and x ≠ x ≠ 0 if x = 0, got it.