+11 Solve for Emax. I have the answer cause of the back of the book and have read the directions/samples in the book, but for the life of me I can't figure out how the process to get there. Even tried to change equation to a= (b-c)/(b+c) to hopefully make more sense and it didn't work.
\(M = (Emax-Emin)/(Emax+Emin)\)
+128460 OK....let's use your example and solve for "b"
So we have
M = ( b - c) / ( b + c) multiply both sides by ( b + c)
M ( b + c) = b - c distribute the M on the left
Mb + Mc = b - c subtract b, and Mc from both sides
Mb - b = - Mc - c multiply both sides by - 1
b - Mb = Mc + c factor both sides
b( 1 - M) = c ( M + 1) divide both sides by (1 - M)
b = c ( M + 1) / ( 1 - M)
So......back-substituting, we have
Emax = Emin ( M + 1) / (1 - M)
+11 I had got to this point- Mb + Mc = b - c subtract b, and Mc from both sides
Mb - b = - Mc - c multiply both sides by - 1 <---- Was skipping this part
was getting M = c(1-m)/(m+1)
When that didn't work I started racking my brain and then overlooking these steps and was becoming a brain drain cycle.
b - Mb = Mc + c factor both sides
b( 1 - M) = c ( M + 1) divide both sides by (1 - M)
Thanks! Rereading a couple times to get this to stick
+11 Big issue I just realized my brain was having, and maybe you could explain this to me...Why when you get to
Mb + Mc = b - c subtract b, and Mc from both sides
Why can't I just add "c" to the the left and be done?
Mb + Mc + c = b
+128460 Remember that we want to isolate "b"
So....taking it from here
Mb + Mc = b - c
We want all the terms involving "b" on on side of the equation and everything else on the other side
So....the way to do this is to subtract b from both sides and subtract Mc from both sides
And we have
Mb - b = -Mc - c which we can write as
Mb - b = (-1) (Mc + c) multiply both sides by -1
(-1) (Mb - b) = (-1)(-1)(Mc + c)
-Mb + b = Mc + c
b - Mb = Mc + c factor out the b on the left and the c on the right
b ( 1 - M) = c ( M + 1) divide both sides by (1 - M)
b = c(M + 1) / ( 1 - M)
And b is isolated.....
+11 Facepalm...im overlooking Mb in that. I got a brain that calculates numbers like it's owned by Texas Instruments...but introduce a letter and it messes with my brains algorithms.
