Comparing formulas?

#1 Опубликовано: 01.05.2010 13:17:48

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How do I compare two formulas?

Like, if I simplify by hand, or solve for x by hand - and I'd like to check if I did it correctly.
What I want to compare, are two equations...

For example:
y = ax + b

And then compare to:
x = (y - b ) / a

And have it reply with "True".

As compared to if I wrote x = (- y - b ) / - a

#2 Опубликовано: 02.05.2010 22:32:23

Radovan Omorjan

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Helo Mike,

At the moment, for this kind of problem you have to use some CAS (Maxima maybe?)


 Solve over x
>:: sol1:=solve(y=a*x+b,x)
 
                                        y - b
                                   [x = -----]
                                          a
 
 Solved by hand
>:: sol2:=(-y-b)/a
 
                                     - y - b
                                     -------
                                        a
 
 Compared
>:: if(at(x,sol1)=sol2) then "true" else "false"
 
                                      false
 
 Compared
>:: if(at(x,sol1)=(y-b)/a) then "true" else "false"
 
                                      true

Regards,
Radovan

When Sisyphus climbed to the top of a hill, they said: "Wrong boulder!"

#3 Опубликовано: 04.05.2010 21:35:18

LordMike

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Ah, so it is not possible :P

Thanks for reply

#4 Опубликовано: 08.05.2010 19:05:03

Andrey Ivashov

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Wrote
Ah, so it is not possible :P

Why?

(download source file)

Best regards.

#5 Опубликовано: 08.05.2010 20:12:22

Radovan Omorjan

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Hello,

I was thinking in this direction, but unfortunately this is not so simple. Please see the examples.
Wrong answer "true", it should be "false":