solve V1=(V2-u)/(1-uV2/C2) for V2

jhanson58

New member
I am trying to understand my math problem. I know what an exponent is. But what does it mean when X 2 you have a little 2 in the lower right hand corner.

V1=V2-u/1-uV2/C2 Solve for V2 How do I go about doing this.

Last edited:

Klaas van Aarsen

MHB Seeker
Staff member
I am trying to understand my math problem. I know what an exponent is. But what does it mean when X 2 you have a little 2 in the lower right hand corner.

V1=V2-u/1-uV2/C2 Solve for V2 How do I go about doing this.
Welcome to MHB, jhanson58! A little 2 in the lower right hand corner distinguishes variables.
So $x_1$ is a different variable from $x_2$.
We might also call them simply $x$ and $y$.

As for your equation, can you clarify it?
$$V_1=V_2-{u \over 1}-{uV_2 \over C_2}$$
But I suspect that is not what you intended.
What did you intend?

Btw, as you can see I moved your post to a new thread, since it's a new topic.

The problem is

V1=V2-u
-----
1-uV2
----
C2

Solve for V2

Evgeny.Makarov

Well-known member
MHB Math Scholar
Start by using parentheses. Every expression can be written in one line using parentheses. Remember the order of operations.

MarkFL

Staff member
The problem is

V1=V2-u
-----
1-uV2
----
C2

Solve for V2

On our toolbar, you will see a button with the $$\displaystyle \sum$$ character on it. Clicking this button will generate the MATH tags, between which you can put your $\LaTeX$ code. To see the code used by others, right click the expression, and from the pop-up menu choose Show Math As ► Tex Commands. You can then copy/past the code for your own use/modification.

There is a small learning curve to get familiar with the characters and commands, but once you get some practice it becomes second nature.

Klaas van Aarsen

MHB Seeker
Staff member
The problem is

V1=V2-u
-----
1-uV2
----
C2

Solve for V2

Is it like this?
$$V_1 = \frac {V_2 - u} {1 - \frac{uV_2}{C_2}}$$

Note that when you click Reply With Quote, you can see how I typed the formula and you can easily copy+paste it.

jhanson58

New member
I do not understand how to put the problem in correctly.when I right click on it. I do not see any symbols to help me.

Evgeny.Makarov

Well-known member
MHB Math Scholar
I do not understand how to put the problem in correctly. when I right click on it.
Well, you should right-click a mathematical expression (and then select "Show Math As ► Tex Commands") in another post, like the following expression from post #6:
$V_1 = \frac {V_2 - u} {1 - \frac{uV_2}{C_2}}$
You may need to turn Javascript on in your browser. If this does not work, use other suggestions above.

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topsquark

Well-known member
MHB Math Helper
It looks to be like a variant on the velocity addition formula from SR:
$$\large v_1 = \frac {v_2 - u} {1 - \frac{uv_2}{c^2}}$$

-Dan

Klaas van Aarsen

MHB Seeker
Staff member
It looks to be like a variant on the velocity addition formula from SR:
$$\large v_1 = \frac {v_2 - u} {1 - \frac{uv_2}{c^2}}$$

-Dan
Nice one! Then, to solve $v_2$ from it, we can observe that in SR from the perspective of the other observer, the velocities are added instead of subtracted. Therefore:
$$v_2 = \frac {v_1 + u} {1 + \frac{uv_1}{c^2}}$$

Granny

New member
i need help! it says 0.999999.... is 1! how can That be?