Applications of quadratic equations

What You'll Learn

Translate real-world scenarios into quadratic equations with precise variables

Apply quadratic formula and factoring methods to solve application problems

Evaluate and reject solutions that don't fit the physical context

Set up equations using formulas for area, distance-speed-time, and reciprocals

Simplify complex rational equations by eliminating denominators

What You'll Practice

Solving number and reciprocal word problems

Finding dimensions of rectangles and triangles given area constraints

Calculating speeds in distance-rate-time scenarios with constraints

Working with upstream/downstream current problems

Why This Matters

Quadratic equations model countless real situationsfrom calculating distances and speeds to designing spaces with area constraints. Mastering these applications sharpens your problem-solving skills and prepares you for physics, engineering, and any field requiring mathematical modeling.

Before You Start — Make Sure You Can:

Solving quadratic equations by factoring Solving quadratic equations by completing the square Solving quadratic equations using the quadratic formula Nature of roots of quadratic equations: The discriminant

This Unit Includes

5 Video lessons

Practice exercises

Skills

Quadratic Equations

Word Problems

Factoring

Quadratic Formula

Area Problems

Distance-Rate-Time

Variable Setup

Solution Verification

OH Curriculum Aligned