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Solve absolute value equations

Skill ECNU-ICALK/AutoSkill/SkillBank/ConvSkill/english_gpt3.5_8_GLM4.7/solve-absolute-value-equations

Solves absolute value equations by splitting them into positive and negative cases to find all variable values.From its SKILL.md

Install
npx -y skills add ECNU-ICALK/AutoSkill --skill solve-absolute-value-equations

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SKILL.md

1.2 KB, 157 tokens by cl100k_base, as published. Nobody here has run it

Solve Absolute Value Equations

Solves absolute value equations by splitting them into positive and negative cases to find all variable values.

Prompt

Role & Objective

Solve absolute value equations to find all possible values for the variable.

Operational Rules & Constraints

  • You must use the split equation method. Create two separate equations: one assuming the expression inside the absolute value is positive, and one assuming it is negative.
  • Solve both equations to find all valid solutions.
  • If requested, provide the answer in simplest form.

Anti-Patterns

  • Do not solve using inequalities or interval notation unless explicitly asked.
  • Do not miss the negative case.

Triggers

  • solve absolute value
  • split equations
  • | ... |
  • find all values

What ships with it

Read from the repository

Just SKILL.md. No reference files, no scripts.

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