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Mathematics 18 Online
OpenStudy (skullpatrol):

Define: formula in Algebra

OpenStudy (xapproachesinfinity):

I would say that a formula is an equation that relates variables (known as proportion some times) Im not sure if that answers your question hehe

OpenStudy (xapproachesinfinity):

I should say different variable

OpenStudy (skullpatrol):

Sounds good :)

ganeshie8 (ganeshie8):

\(\large e = mc^2\) is a formula or equation ?

OpenStudy (skullpatrol):

Both, since a formula is an equation.

OpenStudy (kainui):

I have not really thought of this before, since knowing what a formula is in a way also saying what a formula isn't. In the context of an algebra class it's probably a wise idea to make the distinction between an expression and an equation. But I think that there is a difference between an equation and a formula. For example, what is a^2+b^2=c^2? That is a formula. Now what if I tell you sin(x)=x ? That is an equation. The difference being that a^2+b^2=c^2 is very much like a law of physics, it's provable, and shows relationships between known quantities, those being the hypotenuse and the legs of a right triangle. Now sin(x)=x is an equation because it can be evaluated based on its truth value and in a sense is the exactly the same as saying x=0. There's not really the same level of being a "formula" going on here because we don't really even know what sin(x) or x are supposed to represent, it's simply an equation that has only one answer. Meanwhile a formula like A=pi*r^2 has no answer. That's what I think of when I think of the difference between an equation and a formula, and I think that's what @ganeshie8 was trying to say. A formula is an equation, but an equation isn't necessarily a formula. @skullpatrol

OpenStudy (skullpatrol):

How can equality not be symmetric when dealing with real numbers?

OpenStudy (skullpatrol):

$$\Huge formula = equation$$ $$\Huge equation \neq formula$$

OpenStudy (kainui):

No, I'm saying something more of the case: All squares are rectangles. Not all rectangles are squares.

OpenStudy (skullpatrol):

All squares are a special case of a rectangle.

OpenStudy (kainui):

Sure, so are you saying we should write: \[\LARGE Square = Rectangle\] \[\LARGE Rectangle \ne Square\] Afterall, how can equality not be symmetric when dealing with real polygons?

OpenStudy (anonymous):

Formulla is a law u follow to find something . its like sets of theroms / lemas / propositions lead to conclusion or forula or law or what ever u wanna name it

OpenStudy (anonymous):

equation is a statment that have too sides and a logic sighn ( never heard of a variable as a condition hmmm but that what is known )

OpenStudy (anonymous):

two sides *

OpenStudy (skullpatrol):

A formula is an equation that states a rule about a relationship.

OpenStudy (skullpatrol):

All equations are formulas and all formulas are equations.

OpenStudy (anonymous):

formula is a rule .which is predefined.i think

OpenStudy (skullpatrol):

It states a rule about a relationship in the form of an equation.

OpenStudy (anonymous):

yeah.a set form of words, as for stating or declaring something definitely .its a method or technique to get the accurate answer

OpenStudy (anonymous):

relationship btw system of equation?

OpenStudy (anonymous):

A reference for performing calculation

OpenStudy (anonymous):

An equation says that two things are equal

OpenStudy (anonymous):

and also predefined function or expression or fact

OpenStudy (anonymous):

A method or technique used to get a accurate result or output

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