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HKIMO 2018 THPT (Grades 10–12 shared) National Final (Heat) Set 03 Question 8

HKIMO · HKIMO 2018 THPT (Grades 10–12 shared) National Final (Heat) Set 03

Question 8

If $3x=2+\dfrac5{4+\dfrac5{4+\dfrac5{4+\cdots}}}$, find x.