Hey all. The root of my problem is actually from a chemistry question I'm doing, but for some reason I can't wrap my head around the algebraic solution to a formula need to solve the question. It's fairly simple, but for some reason I'm stuck. It gives the answer as x = 0.18 which works when you plug it in, but I can't get to it. (Please ignore the spacing above and below the division sign as it won't recognize my spaces for some reason)
(1.0 - x)
-------------------- = 1.0
(0.50 + x) (1.0 + x)
Here's what I've done:
(1.0 - x)
------------------- = 1.0
(.5 + 1.5x + x^2)
(.5 + 1.5x + x^2) = (1.0 - x)
.5x + x^2 = .5
.5 = x^2 + .5x
I tried the quadratic formula but it didn't give me the right answer. Can anybody help? Thanks.
EDIT: Mr F is right, far easier to figure out when work has been posted. Just out of interest what topic is this in chem?
Thanks for your reply! In looking at it again I did make an error there, but on my paper I did it the right way, and still didn't get the answer from the book. Starting from where I made the error above:
x^2 + 2.5x - .5 = 0
a = 1 b = 2 c = -.5
Using the quadratic formula I come up with:
-2.5 +/- 1.44 which is either - 1.06 or - 3.94
Sorry about the confusion. And thanks again for the help.
P.S. The chemistry topic I am working on is chemical equilibrium. This formula is for finding the concentrations of reactants when volume changes.