SOLUTION: Hi, have been stuck on this one for a long time: V^2=2K(1/x-1/a), transpose for a My working is as follows Find common denominator: V^2=2K((a-x)/ax) Multiply brackets o

Algebra ->  Equations -> SOLUTION: Hi, have been stuck on this one for a long time: V^2=2K(1/x-1/a), transpose for a My working is as follows Find common denominator: V^2=2K((a-x)/ax) Multiply brackets o      Log On


   



Question 768545: Hi, have been stuck on this one for a long time:
V^2=2K(1/x-1/a), transpose for a
My working is as follows
Find common denominator: V^2=2K((a-x)/ax)
Multiply brackets out: V^2= 2aK-2xK/ax
Multiply by ax: V^2ax= 2aK-2xK
Move 2aK to LHS: V^2ax-2aK= -2xK
Factorise: a(V^2x-2K)= -2xk
Divide by V^2x-2K: a=-2xK/V^2x-2K
According to book this is wrong
Answer given is a=2xK/2K-xv^2
Please help me.



Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
V^2=2K(1/x-1/a)

V%5E2=2K%281%2Fx-1%2Fa%29
/2K
V%5E2%2F2K+=+%281%2Fx-1%2Fa%29
%28V%5E2%2F2K%29+-%281%2Fx%29=+-1%2Fa%29

V%5E2x-2K%29%2F2Kx+=+-1%2Fa
take reciprocal
-a=+2Kx%2F%28V%5E2x-2K%29
a=-2Kx%2F%28v%5E2x-2K%29

a=2Kx%2F%282K-v%5E2x%29

You were right