The discussion revolves around the concept of the discriminant in the context of the quadratic formula, specifically the expression \(b^2 - 4ac\). Participants explore its definition, significance in determining the nature of solutions to quadratic equations, and its relationship with methods such as completing the square. The scope includes theoretical understanding and references to educational resources.
Participants generally agree on the definition and significance of the discriminant, but there is no consensus on the best resources for learning about it, as some express difficulty finding it in their textbooks.
Some participants reference the discriminant's role in different methods of solving quadratic equations, highlighting that its presence may vary depending on the approach taken.
Yes, you spelled it correctly.462chevelle said:It's the discriminant, if I spelled that right.
It discriminates between two real solutions, one real and repeated solution, and two complex solutions, depending on whether the discriminant is positive, zero, or negative, respectively.462chevelle said:Its value let's you know if you have complex or real solutions.
You should be able to find this in any algebra book. Look under quadratic equations.askor said:I wasn't able to find about discriminant in my Calculus textbook.
What book I can found about this discriminant?
Yes, that is right. Any intermediate or college algebra textbook will discuss the discriminant of a quadratic equation or of a quadratic expression.Mondayman said:You should be able to find this in any algebra book. Look under quadratic equations.
The discriminant shows up in the Quadratic Formula, which is derived by completing the square. If you solve a quadratic equation by completing the square, you won't see the discriminant.symbolipoint said:The discriminant occurs when you use Completing the Square to generally solve a quadratic equation; as well as if you use Completing the Square to solve a particular quadratic equation.