IGCSE Maths: Quadratic Equations | IGCSE 数学：二次方程

📚 IGCSE Maths: Quadratic Equations | IGCSE 数学：二次方程

Quadratic equations are one of the most important algebraic topics in the IGCSE Mathematics syllabus. They appear in both Core and Extended papers, often linked to graphs, problem solving and real-life modelling.

二次方程是 IGCSE 数学教学大纲中最重要的代数主题之一。它同时出现在核心课程和扩展课程试卷中，并常与图像、问题解决和实际建模相结合。

1. Introduction to Quadratic Equations | 二次方程简介

A quadratic equation in one variable is any equation that can be written in the standard form ax² + bx + c = 0, where a, b and c are constants and a ≠ 0. If a = 0, the equation becomes linear, not quadratic.

一个变量的二次方程是能够写成标准形式 ax² + bx + c = 0 的方程，其中 a、b 和 c 是常数，且 a ≠ 0。如果 a = 0，该方程就变成了一次方程，而不是二次方程。

The highest power of the variable x is 2, which is why the graph of a quadratic function is a parabola. Quadratic equations can have two real solutions, one repeated solution, or no real solutions.

变量 x 的最高次幂是 2，因此二次函数的图像是一条抛物线。二次方程可以有两个实数解、一个重复解，或者没有实数解。

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