when I check in wolframalpha if the function x = -1/4 ± √[1/(y - 1) + 9/16] is the same as 1/4(-1 +/- sqrt(1+8 ((y+1)/(y-1)))
it doesn't even confirm but confused it as an entirely new function...
Yes, I am sure. This problem comes from the Chemistry Maths Book, by Erich Steiner.
Exercise Section 2.5 problem 44.
The answer is in the back of the book, but I don't even know how in the world they got to that answer as well. I've been running smoothly through the first 43 problems just...
Homework Statement
Find x as a function of y, if y = (2x^2+x+1)/(2x^2+x-1)
Homework Equations
(1/8 (-4 i x+sqrt(7)-i) (4 i x+sqrt(7)+i) ) / (x+1) (2 x-1)
for 2x^2+x+1, how do I factor that out to get 1/8 (-4 i x+sqrt(7)-i) (4 i x+sqrt(7)+i)?
quad. formula?
The Attempt at a...