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HKIMO 2020 Grade 8 National Final (Heat) Set 01 Question 6

HKIMO · HKIMO 2020 Grade 8 National Final (Heat) Set 01

Question 6

Given $x>0$ and $x=\cfrac{15}{2+\cfrac{15}{2+\cfrac{15}{2+\cdots}}}$, find x.