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TL;DR While [removed] might interpret it as “4+c” is the denominator, it doesn’t mean it’s ambiguous. They are objectively **wrong** (and not using another form of interpret the same equation – which would make it ambiguous) under the terms of PEMDAS, which is the most wide-spread system and should really be the only one taken in consideration.
The correct would be dividing b² by 4 and THEN adding c, btw.
Not to unnecessarily simplify the equation, but shouldn’t the Distributive Property apply before everything else?
6 ÷ 2(1+2) = ?
6 ÷ (2 + 4) = ?
6 ÷ (6) = ?
1 = ?
At least, that is how I learned how to interpret basic algebra equations.
Nobody cares about this topic anymore. However, I was reviewing my old textbook in real analysis, and came across [this gem](http://i.imgur.com/SYGzy.jpg) (cf. Bartle and Sherbert, 4th Edition, pp. 175).
See! It does exist!