+0  
 
0
119
1
avatar

Given that \(x = {1+\frac{\sqrt{2}}{1+\frac{\sqrt{2}}{1+...}}}\), find \(\frac{1}{(x+1)(x-2)}\)

When your answer is in the form  \(\frac{A+\sqrt{B}}{C}\), where A, B, and C are integers, and B is not divisible by the square of a prime, what is |A|+|B|+|C|?

 May 30, 2021
 #1
avatar
0

$\frac{1}{(x + 1)(x - 2)} = \frac{-7 - \sqrt{2}}{5}$, so $|A| + |B| + |C| = 14$.

 May 30, 2021

28 Online Users

avatar