Originally Posted by
Jools 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 Mr F says: This does NOT follow from the previous line. You are meant to ADD x to both sides .... By the way, thankyou for posting your work. It makes it easy to diagnose your trouble.
Therefore:
.5 = x^2 + .5x
I tried the quadratic formula but it didn't give me the right answer. Can anybody help? Thanks.