Transposition Problem

[Vulcan]

I have had a go at this a few times and this id the closest I can get to the answer. Any pointers please. We are transposing for A<sub>2

The solution is</sub>

 

[Vulcan]

Yeah, that's what I'm trying to do! But to no avail!

 

[Vulcan]

OK; let gh = k
(always try to simplify/shorten; less writing...get my drift?)

q = aSQRT[2k / ((a/b)^2 - 1)]

q/a = SQRT[2k / ((a/b)^2 - 1)]

q^2 / a^2 = 2k / (a^2 / b^2 - 1)

q^2 / a^2 = 2k / [(a^2 - b^2) / b^2]

q^2 / a^2 = 2kb^2 / (a^2 - b^2)

2a^2 b^2 k = q^2 a^2 - q^2 b^2

2a^2 b^2 k + q^2 b^2 = a^2 q^2

b^2 = a^2 q^2 / (2a^2 k + q^2)

b = SQRT[a^2 q^2 / (2a^2 k + q^2)] : YAHOO!!!

I ain't "explaining" nuttin' !

Not sure how you get from line 3 to line 4?

OK I have sussed it out>

Thanks!

 

[Vulcan]

Tattoo this on your wrist:
a/b + 1 = (a + b) / b

Done!

Thanks