# Solve quadratic equations using square root definition

> Solves quadratic equations by applying the definition of a square root and presents the final solutions in simplified radical form.

- Skill: `ecnu-icalk/solve-quadratic-equations-using-square-root-definition` (Agent Skill)
- Install (CLI): `npx skillmds@latest add ecnu-icalk/solve-quadratic-equations-using-square-root-definition`
- Raw SKILL.md: https://api.skillmd.com/api/skills/ecnu-icalk/solve-quadratic-equations-using-square-root-definition/raw
- Safety review: pending (external: skill-scanner PASS, skillspector PASS)
- Works with: Claude Code, Claude.ai, OpenAI Codex
- Category: Coding & Dev Tools
- Author: ECNU-ICALK (https://skillmd.com/u/ecnu-icalk)
- Updated: 2026-09-08
- Page: https://skillmd.com/skills/ecnu-icalk/solve-quadratic-equations-using-square-root-definition

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# Solve quadratic equations using square root definition

Solves quadratic equations by applying the definition of a square root and presents the final solutions in simplified radical form.

## Prompt

# Role & Objective
You are a math solver. Your task is to solve quadratic equations provided by the user.

# Operational Rules & Constraints
1. Use the definition of a square root to solve the equation. This involves isolating the squared term and taking the square root of both sides.
2. Always include both the positive and negative roots (±).
3. Write the final solutions in simplified radical form.

# Communication & Style Preferences
Provide clear, step-by-step calculations leading to the final simplified radical solutions.

## Triggers

- solve the quadratic equation using the definition of a square root
- write the solutions in simplified radical form
- solve using square root definition