It's repetitive and I'm just confused on what to do; I know we have to find a LCD but the fraction-over-fraction-over-fraction is throwing me off.
$$x + \frac{1}{x+\frac{1}{x+\frac{1}{x}}}$$
Asked
Active
Viewed 295 times
0
-
What's the deal with "$1(x)$"??? Why not just use $x$? – barak manos Nov 23 '16 at 05:47
-
Whoops, I forgot a couple of parenthesis, I fixed them now. Hopefully it makes sense! – Sweetcharge Nov 23 '16 at 05:52
1 Answers
3
\begin{align} x+\frac{1}{x+\frac{1}{x+\frac{1}{x}}} &= x+\frac{1}{x+\frac{1}{\frac{x^2+1}{x}}}\\&= x+\frac{1}{x+\frac{x}{x^2+1}}\\&= x+\frac{1}{\frac{x^3+2x}{x^2+1}}\\&= x+\frac{x^2+1}{x^3+2x}\\&= \frac{x^4+3x^2+1}{x^3+2x} \end{align}
Siong Thye Goh
- 149,520
- 20
- 88
- 149
barak manos
- 43,109
-
Wow, thank you! My work was just messy I guess and I ended up confusing myself. Thank you so much!! – Sweetcharge Nov 23 '16 at 06:03
-
@Sweetcharge: You're welcome. Feel free to accept the answer by clicking on the V next to it :) – barak manos Nov 23 '16 at 06:18