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I want to solve this question but I don't understand what "height" of an algebraic equation is:

Find the number of solutions of the set of all algebraic equations of height 2.

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    Agree with Henning. For the purposes of enumerating algebraic numbers it is essential that there are only finitely many algebraic equations of a given height. The height of a polynomial fails in that score even though it is useful in other contexts.2016-07-08

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You can find it in Rudin, Principles of Mathematical Analysis, page 43, problem 2, the sum of the absolute values given there is called the height of an algebraic equation.