Quadratic Equations

Learn how quadratic equations arise from real-life situations, what quadratic equations and quadratic trinomials are, how they are related, and how to determine whether an equation is quadratic.

Quadratic equations with missing terms (incomplete quadratics) are the simplest forms of quadratic equations where the coefficient B, C, or both are missing. Let’s learn how to solve them correctly in each specific case.

The technique of “packing” an expanded expression into a compact squared binomial. This method allows you to solve any quadratic equation! Let’s learn how to do it with detailed examples and visualizations.

A clear derivation of the quadratic formula with a detailed explanation of every step. Learn what the discriminant is, where it comes from, and how it tells you how many roots a quadratic equation has.

Rewriting quadratic trinomials and quadratic equations as a product of factors instead of a sum of terms. Lets you solve equations quickly, simplify messy expressions, and spot the roots immediately.

Real life applications of quadratic equations in all sorts of places: everyday life, physics, work problems, solutions, mixtures, alloys, and of course mathematics itself. All problems come with detailed solutions and answers.

Two simple and very useful formulas that connect the roots of a quadratic trinomial with its coefficients. They let you check roots quickly, build equations, and study special kinds of quadratic equations.

A detailed breakdown of every way to solve quadratic equations mentally. Includes infinitely generated practice problems for each method separately and for all methods mixed together.

All the formulas, concepts, and methods for solving quadratic equations, with the logic behind their derivation. A set of mixed problems that reduce to quadratic trinomials or quadratic equations.