Question 144
Find the solutions of the equation
$$
\sqrt{x+\sqrt{4 x+\sqrt{16 x+\sqrt{\ldots+\sqrt{4^{n} x+3}}}}}=1+\sqrt{x}
$$
$$
\sqrt{x+\sqrt{4 x+\sqrt{16 x+\sqrt{\ldots+\sqrt{4^{n} x+3}}}}}=1+\sqrt{x}
$$
MathNet 2015-part-01 — 191 problems (EN–VI) Question 144
Math Olympiad Vault · MathNet 2015-part-01 — 191 problems (EN–VI)