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HKIMO 2019 Grade 8 National Final (Heat) Set 02 Question 6

HKIMO · HKIMO 2019 Grade 8 National Final (Heat) Set 02

Question 6

Given $x>0$ and $x=2+\cfrac{24}{2+\cfrac{24}{2+\cfrac{24}{2+\cdots}}}$, find x.