x =Â $$\sqrt{552+\sqrt{552+}\sqrt{552+...}}$$
$$x^2-552$$ =Â $$\sqrt{552+\sqrt{552+}\sqrt{552+...}}$$
$$x^2 - x -Â 552 = 0$$
(x-24)(x+23) = 0
x cannot be negative. Therefore, $$\sqrt{552+\sqrt{552+}\sqrt{552+...}}$$ = 24
Answer is option C.
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