I need some help on this problem:
Describe the difference between an open equation and a closed equation.
My textbook says that an open equation is one which has a variable, although it never mentions the term closed equation. I tried looking online for the meaning of this term, but I did not find anything useful. Can someone help me on this problem?
closed: 23 = 2*5+13 always true
open: 2x+3 = 17 true only for x=7
I think
Sure! I can help you with that problem.
An open equation is indeed an equation that contains one or more variables. These variables represent unknown quantities, and the equation serves as a statement that relates these unknowns. The purpose of an open equation is to solve for the values of the variables and find a specific solution.
On the other hand, a closed equation is a term that is not widely used in mathematics. It may not have a universally accepted definition. In some contexts, it may refer to an equation that does not have any variables, and all the terms in the equation are constants. Essentially, a closed equation is a statement of equality between two known values.
Since your textbook only mentions open equations and not closed equations, it is possible that the term "closed equation" might not be relevant to the specific topic or chapter you are studying. However, it's always a good idea to double-check with your teacher or refer to any additional resources provided to understand if there is a specific meaning or context for the term "closed equation" in your current study materials.
If you are encountering the term "closed equation" in a different context, it might be helpful to provide more information so that I can assist you further.