Three images are attached, showcasing real-life applications of the sum and product of the roots of quadratic equations.
Further explanation
A quadratic equation is characterized by the form where x is the unknown, and a, b, and c are constants with a ≠ 0. If a = 0, it becomes a linear equation without a quadratic term.
Attached are three images illustrating the practical application of the sum and product of the roots of quadratic equations.
The first image highlights a basketball athlete executing a shot. Quadratics are reflected in such images because skilled basketball players, like Stephen Curry, are able to achieve consistent shot trajectories based on the factors contained in the quadratic formula.
The second image relates to a bridge's structure, which is designed using principles of quadratic equations. Basic concepts are integrated into bridge design, with beam or truss structures comprising evenly spaced supports throughout the span. Arch bridges, conversely, distribute forces uniformly along their entire length.
The third image features a soccer player's kick, illustrating how quadratics come into play in determining the flight time of a soccer ball elevated into the air.
Learn more
- Explore further about the sum and product
- Learn about the roots of quadratic equations
- Discover more about quadratic equations
Answer details
Grade: 9
Subject: mathematics
Chapter: applications of the sum and product of quadratic roots
Keywords: sum and product, roots of quadratic equations, quadratic equations, real life, images
