Quadratic equations can be used to solve various day-to-day problems, such as: 1. _Projectile motion_: Trajectory of a thrown object, like a ball or a projectile, can be modeled using quadratic equations. 2. _Optimization problems_: Find the maximum or minimum value of a quadratic function, like maximizing area or minimizing cost. 3. _Physics and engineering_: Describe the motion of objects, like springs, pendulums, or electric circuits, using quadratic equations. 4. _Economics_: Model supply and demand curves, revenue, and profit functions using quadratic equations. 5. _Computer graphics_: Create smooth curves and surfaces for visual effects, video games, or design. 6. _Surveying and navigation_: Calculate distances, heights, and angles using quadratic equations. 7. _Electrical circuits_: Analyze and design circuits with resistors, capacitors, and inductors. 8. _Mechanical systems_: Model vibrations, oscillations, and rotations in mechanical systems. 9. _Data analysis_: Fit quadratic ...