How do you finish rearranging the Doppler shift formula

[McWilliams]

Homework Statement

i am using the Doppler shift formula Fs=F0(1/1+-(vsource/c) i can rearrange it to an extent but when i use it to find my answer i i need to divide it by two in order to do it, every time. I would just like to understand why this is, or if i am doing it completely wrong.

The Attempt at a Solution

((Fs/F0)-1)*V(sound)=Vsource
but if i turn it into 2Vsource it comes out that i will get the right answer when i divide it by two to get vsource, so please explain why there is a two there.

Please and thank you for your help.

 

[tms]

((Fs/F0)-1)*V(sound)=Vsource

If I understand your symbols, I think you've got the ratio of the frequencies upside down.

 

[McWilliams]

Yes, thank you, they were reversed, that created my formula to be positive instead of a negative end number, but i still need to divide Vsource by 2 in order to get the correct answer.

 

[tms]

Yes, thank you, they were reversed, that created my formula to be positive instead of a negative end number, but i still need to divide Vsource by 2 in order to get the correct answer.

Show your work, then.