Solving Quadratic Equations | 解二次方程

📚 Solving Quadratic Equations | 解二次方程

Quadratic equations appear throughout A-Level Mathematics, and mastering the methods to solve them is essential for tackling a wide range of problems. This article will guide you through factorising, using the quadratic formula, completing the square, and analysing roots with the discriminant, as well as more advanced topics like hidden quadratics and complex roots, all aligned with the Edexcel specification.

二次方程贯穿于A-Level数学的各个部分，掌握求解它们的方法对于解决各类问题至关重要。本文将带你系统学习因式分解法、二次公式法、配方法、利用判别式分析根的情况，以及更进阶的主题如隐藏二次方程和复数根，内容紧扣爱德思考试大纲。

1. What is a Quadratic Equation? | 什么是二次方程？

A quadratic equation is a polynomial equation of degree 2, which can be written in the standard form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0. The graph of y = ax² + bx + c is a parabola. Solving the equation means finding the x-values where the parabola intersects the x-axis — these are the roots or solutions.

二次方程是一个二次多项式方程，可写成标准形式 ax² + bx + c

Published by TutorHao | A-Level Mathematics Revision Series | aleveler.com

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