Quadratic Equations · Factoring & Discriminant
by Anonymous · ⭐ 1 · 🍴 0
A playful space to set two roots, expand (x-r₁)(x-r₂)=0, and explore the number of real roots using the discriminant D=b²-4ac (solutions = x-intercepts of the parabola)!
About this app
This interactive educational playground helps students explore quadratic equations visually through factoring, discriminants, and quizzes. Users can define roots to see how factoring expands into equations or modify coefficients to watch how the discriminant (D = b² - 4ac) changes the parabola's relationship with the x-axis. It bridges algebra and geometry by illustrating that the equation's roots are precisely the x-intercepts of the corresponding parabola.
Use cases
- Middle or high school students learning about quadratic equations and parabolas
- Teachers looking for a visual, interactive math aid to demonstrate factorization and discriminants
- Self-learners wanting to practice solving quadratic equations with interactive quizzes
Features
- Interactive factoring tool where adjusting two roots instantly generates the expanded quadratic equation
- Dynamic discriminant calculator (D = b² - 4ac) that reacts to changing coefficients a, b, and c
- Real-time SVG graph visualizer showing the parabola and its x-intercepts
- Challenge mode with randomized quadratic equation quizzes and a streak tracker