It means that some equations can have more than one solution, and that you are supposed to find all of them. For example, equations with polynomials tend to have more than once solution; thus, x squared = 25 is satisfied both for x = 5, and for x = -5.
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Give a general expression that encompasses all possible answers, or give each root of an equation
Extraneous means extra and unnecessary. Extraneous solutions are values that can arise from the process of solving the equation but do not in fact satisfy the initial equation. These solutions occur most often when not all parts of the process of solving are not completely reversible - for example, if both sides of the equation are squared at some point.
You just wrote the verbal equation. Do you mean the algebraic equation? X - 4 = - 12 ---------------
That is what roots mean!
It means it is not an algebraic number. Algebraic numbers include square roots, cubic roots, etc., but more generally, algebraic numbers are solutions of polynomial equations.
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