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## Quadratic Equations

Summary

The essence of solving quadratic equations for the GRE exam involves a distinct approach from linear equations, focusing on setting the equation to zero, factoring, and applying the Zero Product Property to find solutions.

- Quadratic equations typically have two solutions and are of the form ax squared + bx + c = 0.
- The strategy for solving quadratic equations diverges from linear equations, emphasizing the need to set equations to zero, factor them, and then apply the Zero Product Property.
- Most quadratic equations encountered in the GRE can be solved by factoring into a product of linear binomials, then using the Zero Product Property to solve for x.
- It's crucial to understand the mathematical 'or' in the context of the Zero Product Property, which includes the possibility of both conditions being true.
- Some quadratics may have one solution or none, depending on their specific characteristics.

Chapters

00:01

Introduction to Quadratic Equations

01:12

Solving Quadratics by Factoring

01:39

Applying the Zero Product Property

04:28

Special Cases in Quadratic Equations