CBSE Class 10 Maths Chapter 4: Quadratic Equations Notes

1. Standard Form of a Quadratic Equation

A quadratic equation in the variable $x$ is an equation of the form:

Where $a, b, c$ are real numbers and $a \neq 0$. Any value of $x$ that satisfies this equation is called a root or a zero of the quadratic equation.

2. The Quadratic Formula (Sridharacharya's Rule)

If a quadratic equation cannot be easily factored by splitting the middle term, you can find the roots directly using the quadratic formula:

3. Nature of Roots (Most Important Board Concept)

The term inside the square root, $D = b^2 - 4ac$, is called the Discriminant. It decides what the roots look like:

Discriminant Value ($D$)	Nature of Roots