Definition And Standard Form

This section defines quadratic equations and presents their standard form, explaining the significance of each term in the equation.

Methods Of Solving Quadratic Equations

This section explores various methods for solving quadratic equations, including factorization, completing the square, and using the quadratic formula.

Factorization Method

This section covers the steps involved in solving quadratic equations using the factorization method.

Completing The Square Method

The Completing the Square method is a technique used to solve quadratic equations by transforming them into perfect square trinomial forms.

Quadratic Formula

The quadratic formula is a powerful tool for solving any quadratic equation and helps in determining the roots of the equation.

Nature Of Roots Using Discriminant

The discriminant provides insight into the nature of the roots of a quadratic equation, determining whether they are real, equal, or complex.

Forming Quadratic Equations

This section covers how to form quadratic equations based on given roots.

Applications In Real Life

Quadratic equations are vital in various real-world applications, such as physics, economics, and engineering.

Summary

This section summarizes key concepts related to quadratic equations, including their standard form, solving methods, and real-life applications.

Inquiry-Based Challenge

This section focuses on applying quadratic equations to real-world scenarios, including determining when an object will hit the ground and finding maximum height.