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Absolute-value case splitTechnique

Technique

Absolute-value case split

Isolate the bars, then solve the plus and minus cases

3 min 3 steps

Absolute value hides which direction you went. I spent years making sure nobody knew which way I'd gone, so trust me: check both.

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Calls on

Absolute value by casesFactTwo cases, one sign check, no missed solutions

Used by

Solve a nonlinear equationTacticLet the form pick the method, then check every root
Evaluate, compose, and transformTacticSubstitute the whole input, parentheses and all