solve-it-2-3-2-3-2-3-2-

Question Number 217921 by Unhombre last updated on 23/Mar/25

s o l v e i t :

2 + \frac{3}{2 + \frac{3}{2 + \frac{3}{2 + \dots}}}

Answered by Rasheed.Sindhi last updated on 24/Mar/25

x = 2 + \frac{3}{2 + \frac{3}{2 + \frac{3}{2 + \dots}}} > 0

x = 2 + \frac{3}{x}

x^{2} - 2 x - 3 = 0

(x - 3) (x + 1) = 0

\overset{✓}{x = 3} \lor \overset{\times}{x = - 1} (i n v a l i d)

Commented by CrispyXYZ last updated on 24/Mar/25

(x - 3) (x + 1) = 0

Commented by Rasheed.Sindhi last updated on 24/Mar/25

T h a n k s s i r, c o r r e c t e d!