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 …
Plotting Quadratics and ODE Solutions in Mathematica - A Guide …
Apr 6, 2015 · This discussion provides a comprehensive guide for plotting quadratics and ordinary differential equation (ODE) solutions using Mathematica. The user successfully combines …
Discriminant of Quadratic Equations: Difference or Special Case?
Oct 11, 2011 · Is the discriminant, of the quadratic equations, the difference between the two roots? Or is it a special case?
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, …
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 …
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 …
An engineer's approach to the quadratic formula - Physics Forums
Jul 4, 2023 · The discussion emphasizes the importance of understanding the quadratic formula beyond mere memorization, highlighting its practical applications in engineering. The author …
Why do we equal equations to 0 (zero)? • Physics Forums
Oct 20, 2004 · Equations are set equal to zero to simplify the process of finding their solutions, particularly for polynomials such as quadratics. This convention allows for easier manipulation …
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 …
Solving Quadratic Equations: m^4+4m^3+8m^2+8m+4=0
Oct 9, 2015 · The discussion focuses on solving the quartic equation \ (m^4 + 4m^3 + 8m^2 + 8m + 4 = 0\) using the rational roots theorem and factoring techniques. Participants confirm that …