Why are quadratic equations set equal to 0? • Physics Forums
Sep 18, 2012 · Quadratic equations are often set equal to zero to utilize the zero product property, which states that if the product of two factors equals zero, at least one of the factors must also equal zero. …
Plotting Quadratics and ODE Solutions in Mathematica - A Guide for ...
Apr 6, 2015 · This discussion provides a comprehensive guide for plotting quadratics and ordinary differential equation (ODE) solutions using Mathematica. The user successfully combines multiple …
How to isolate x in a quadratic equation • Physics Forums
Mar 5, 2011 · Learn about the implications of multiple solutions in quadratic equations Investigate the concept of completing the square for solving quadratics Students studying algebra, educators …
How Do You Factor a Quartic Polynomial into Quadratics?
Jun 15, 2013 · In the quartic case, if there was an easy method to factor the quartic into quadratics, we could find the roots by solving the quadratics. But it is not easy to find the roots, so it must be difficult …
Quadratics using Pascal's triangle - Physics Forums
May 18, 2017 · The discussion centers on solving a quadratic equation using Pascal's Triangle and the quadratic formula. The user, Ben, struggles with simplifying the expression involving terms like α 4 + …
Kinematics: when to use the quadratic formula? - Physics Forums
Jul 2, 2013 · The discussion centers on the application of the quadratic formula in kinematics, specifically in solving problems involving constant acceleration. A user presents a scenario where a …
How to Master Projectile Motion Without Quadratics - Physics Forums
Nov 19, 2020 · A method is provided that allows the solution of elementary % projectile motion problems using geometry and trigonometry rather than solving a quadratic equation.
When to use quadratic equations? - Physics Forums
Apr 2, 2018 · This discussion centers on the appropriate use of quadratic equations in kinematic problems, specifically in the context of a swimmer's motion. The participant initially attempted to use …
Factoring a quartic polynomial - Physics Forums
Jun 5, 2018 · Homework Statement Factor ##x^4-3x^2+9## over the reals Homework EquationsThe Attempt at a Solution I am factoring this polynomial over the reals. So there are two options. It will …
How Is the Quadratic Formula Used in Engineering and Physics?
Apr 15, 2010 · The quadratic formula, represented as ax² + bx + c = 0, is extensively utilized in engineering and physics to solve problems involving projectile motion and other dynamic systems. …