Chapter 1, Equations and Inequalities - 1.7 Solve Absolute Value Equations and Inequalities - 1.7 Exercises - Skill Practice - Page 55: 1

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An extraneous solution of an equation is a value obtained when solving for a specific variable but in the instant of plugging it in, it results in false equality. An example would be $\sqrt {x^2} = -1$. When squaring both sides, we get $x^2 = 1$ or $x=1,-1$. However when substituting, we see that $\sqrt 1 = -1$ which is false and thus is extraneous.