Thread: Transposition of equation

Now, this is basically a physics equation, but since I need only algebraical part of it, I'm posting this here. My physics teacher claims that the equation can be written in form of

Now, I tried transposing the equation in numerous ways, but never succeeded, and am pretty sure this is not the same equation. Am I correct?

Assuming , the first equation transforms into . Which obviously is not equivalent to .

Your teacher is wrong. Unless of course I made a mistake somewhere.

Originally Posted by Sindrato

Now, this is basically a physics equation, but since I need only algebraical part of it, I'm posting this here. My physics teacher claims that the equation can be written in form of

Now, I tried transposing the equation in numerous ways, but never succeeded, and am pretty sure this is not the same equation. Am I correct?

Either you have misquoted your teacher or your teacher is all wet.

Just consider the simple case then and can be anything according to your first equatin. This is clearly not compatible with the second equation which then reduces to just .

I can confirm that this equation can not be rewritten that way.

Getting rid of the denominators by multiplying both sides with the denominators one can write the first equation as



while the second equation can be rewritten as



So, these two equations can't be equal, unless YZ = 0 that is.

Originally Posted by Leszek Luchowski

Assuming , the first equation transforms into . Which obviously is not equivalent to .

Your teacher is wrong. Unless of course I made a mistake somewhere.

You did not make a mistake in your transformation.

However the conclusion that the teacher is wrong may not be valid. The alternative is that the the teacher has been misquoted.

Teacher has not been misquoted, as the equations were written on the blackboard and double-checked. I am glad that you have confirmed my calculations. The original equations were in fact and . The later is, of course, the Gay-Lussacc's law.

Originally Posted by Sindrato

Now, this is basically a physics equation, but since I need only algebraical part of it, I'm posting this here. My physics teacher claims that the equation can be written in form of

Now, I tried transposing the equation in numerous ways, but never succeeded, and am pretty sure this is not the same equation. Am I correct?

Your teacher wasn't far off; the original equation can be simplified to .